102100331000001 has 32 divisors (see below), whose sum is σ = 150084959616000. Its totient is φ = 61451452484928.

The previous prime is 102100330999967. The next prime is 102100331000021. The reversal of 102100331000001 is 100000133001201.

It is not a de Polignac number, because 102100331000001 - 2¹⁵ = 102100330967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100331000021) 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, 144405211 + ... + 145110528.

It is an arithmetic number, because the mean of its divisors is an integer number (4690154988000).

Almost surely, 2^{102100331000001} is an apocalyptic number.

It is an amenable number.

102100331000001 is a deficient number, since it is larger than the sum of its proper divisors (47984628615999).

102100331000001 is a wasteful number, since it uses less digits than its factorization.

102100331000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289516053.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102100331000001 its reverse (100000133001201), we get a palindrome (202100464001202).

The spelling of 102100331000001 in words is "one hundred two trillion, one hundred billion, three hundred thirty-one million, one", and thus it is an aban number.