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10101022201010 = 2513176776751253
BaseRepresentation
bin1001001011111101001111…
…0101110001010010110010
31022202122111121022210020202
42102333103311301102302
52310443343140413020
633252202345235202
72061526514030546
oct222772365612262
938678447283222
1010101022201010
113244901776944
12117178ba92b02
135836a3679320
1426cc6bc39a26
15127b3dc96e75
hex92fd3d714b2

10101022201010 has 64 divisors (see below), whose sum is σ = 20762860561632. Its totient is φ = 3505033998336.

The previous prime is 10101022201003. The next prime is 10101022201019. The reversal of 10101022201010 is 1010222010101.

It can be written as a sum of positive squares in 16 ways, for example, as 1649809233601 + 8451212967409 = 1284449^2 + 2907097^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101022200982 and 10101022201000.

It is not an unprimeable number, because it can be changed into a prime (10101022201019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879457 + ... + 4871796.

Almost surely, 210101022201010 is an apocalyptic number.

10101022201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10101022201010 is an abundant number, since it is smaller than the sum of its proper divisors (10661838360622).

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

10101022201010 is a wasteful number, since it uses less digits than its factorization.

10101022201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751967.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101022201010 its reverse (1010222010101), we get a palindrome (11111244211111).

The spelling of 10101022201010 in words is "ten trillion, one hundred one billion, twenty-two million, two hundred one thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 677 1105 1354 2210 3385 6770 8801 11509 17602 23018 44005 57545 88010 115090 149617 299234 748085 1496170 6751253 13502506 33756265 67512530 87766289 114771301 175532578 229542602 438831445 573856505 877662890 1147713010 1492026913 2984053826 4570598281 7460134565 9141196562 14920269130 22852991405 45705982810 59417777653 77700170777 118835555306 155400341554 297088888265 388500853885 594177776530 777001707770 1010102220101 2020204440202 5050511100505 10101022201010