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20101212010101 = 3374167173381061
BaseRepresentation
bin1001001001000001011011…
…00110011111011001110101
32122011122202000201100012110
410210200231212133121311
510113314240233310401
6110430211434441233
74143156525636345
oct444405546373165
978148660640173
1020101212010101
11644a970162282
1223078bb293219
13b2a6c7c31401
144d6c92256d25
1524cd2a6ce9d6
hex12482d99f675

20101212010101 has 64 divisors (see below), whose sum is σ = 28783704128256. Its totient is φ = 12458284185600.

The previous prime is 20101212010051. The next prime is 20101212010111. The reversal of 20101212010101 is 10101021210102.

It is not a de Polignac number, because 20101212010101 - 214 = 20101211993717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101212010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52560111 + ... + 52941171.

It is an arithmetic number, because the mean of its divisors is an integer number (449745377004).

Almost surely, 220101212010101 is an apocalyptic number.

It is an amenable number.

20101212010101 is a deficient number, since it is larger than the sum of its proper divisors (8682492118155).

20101212010101 is a wasteful number, since it uses less digits than its factorization.

20101212010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381382.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101212010101 its reverse (10101021210102), we get a palindrome (30202233220203).

The spelling of 20101212010101 in words is "twenty trillion, one hundred one billion, two hundred twelve million, ten thousand, one hundred one".

Divisors: 1 3 37 41 67 111 123 173 201 519 1517 2479 2747 4551 6401 7093 7437 8241 11591 19203 21279 34773 101639 262441 304917 381061 428867 475231 787323 1143183 1286601 1425693 14099257 15623501 17583547 25531087 42297771 46870503 52750641 65923553 76593261 197770659 578069537 944650219 1046774567 1734208611 2439171461 2702865673 2833950657 3140323701 4416878051 7317514383 8108597019 13250634153 38730658979 100006029901 116191976937 163424487887 181092000091 300018089703 490273463661 543276000273 6700404003367 20101212010101