102100110202112 has 72 divisors (see below), whose sum is σ = 225007451756640. Its totient is φ = 45849994618880.

The previous prime is 102100110202091. The next prime is 102100110202133. The reversal of 102100110202112 is 211202011001201.

It is an interprime number because it is at equal distance from previous prime (102100110202091) and next prime (102100110202133).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218182787 + ... + 218650242.

It is an arithmetic number, because the mean of its divisors is an integer number (3125103496620).

Almost surely, 2^{102100110202112} is an apocalyptic number.

It is an amenable number.

102100110202112 is an abundant number, since it is smaller than the sum of its proper divisors (122907341554528).

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

102100110202112 is an equidigital number, since it uses as much as digits as its factorization.

102100110202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436833139 (or 436833125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100110202112 its reverse (211202011001201), we get a palindrome (313302121203313).

The spelling of 102100110202112 in words is "one hundred two trillion, one hundred billion, one hundred ten million, two hundred two thousand, one hundred twelve".