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10101011010102 = 23231787163714051
BaseRepresentation
bin1001001011111101001100…
…1011000101001000110110
31022202122110211021020012200
42102333103023011020312
52310443332304310402
633252201305325330
72061526316641155
oct222772313051066
938678424236180
1010101011010102
1132448a6422a61
121171788196846
135836a125b69c
1426cc6a56559c
15127b3ccd621c
hex92fd32c5236

10101011010102 has 96 divisors (see below), whose sum is σ = 22635643290624. Its totient is φ = 3252030984000.

The previous prime is 10101011010073. The next prime is 10101011010109. The reversal of 10101011010102 is 20101011010101.

10101011010102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718874977 + ... + 718889027.

It is an arithmetic number, because the mean of its divisors is an integer number (235787950944).

Almost surely, 210101011010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101011010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317821645312).

10101011010102 is an abundant number, since it is smaller than the sum of its proper divisors (12534632280522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101011010102 is a wasteful number, since it uses less digits than its factorization.

10101011010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16514 (or 16511 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101011010102 its reverse (20101011010101), we get a palindrome (30202022020203).

Subtracting 10101011010102 from its reverse (20101011010101), we obtain a palindrome (9999999999999).

The spelling of 10101011010102 in words is "ten trillion, one hundred one billion, eleven million, ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 787 1574 1637 2361 3274 4722 4911 7083 9822 14051 14166 14733 24397 28102 29466 42153 48794 50747 73191 84306 101494 126459 146382 152241 219573 252918 304482 435581 439146 456723 871162 913446 1288319 1306743 2576638 2613486 3864957 3920229 7729914 7840458 11058137 11594871 22116274 23001487 23189742 33174411 39937889 46002974 66348822 69004461 79875778 99523233 119813667 138008922 199046466 207013383 239627334 342802247 359441001 414026766 685604494 713046097 718882002 1028406741 1426092194 2056813482 2139138291 3085220223 4278276582 6170440446 6417414873 12834829746 18102170269 36204340538 54306510807 108613021614 162919532421 325839064842 561167278339 1122334556678 1683501835017 3367003670034 5050505505051 10101011010102