102010112131001 has 16 divisors (see below), whose sum is σ = 102862232592000. Its totient is φ = 101161462267008.

The previous prime is 102010112130973. The next prime is 102010112131009. The reversal of 102010112131001 is 100131211010201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010112131001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102010112131009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562298630 + ... + 562480016.

It is an arithmetic number, because the mean of its divisors is an integer number (6428889537000).

Almost surely, 2^{102010112131001} is an apocalyptic number.

It is an amenable number.

102010112131001 is a deficient number, since it is larger than the sum of its proper divisors (852120460999).

102010112131001 is a wasteful number, since it uses less digits than its factorization.

102010112131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190928.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102010112131001 its reverse (100131211010201), we get a palindrome (202141323141202).

The spelling of 102010112131001 in words is "one hundred two trillion, ten billion, one hundred twelve million, one hundred thirty-one thousand, one".