102031211100312 has 128 divisors (see below), whose sum is σ = 309520467648000. Its totient is φ = 30952046643840.

The previous prime is 102031211100233. The next prime is 102031211100317. The reversal of 102031211100312 is 213001112130201.

102031211100312 is a `hidden beast` number, since 1 + 0 + 20 + 312 + 11 + 10 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031211100317) 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, 255687262 + ... + 256085997.

It is an arithmetic number, because the mean of its divisors is an integer number (2418128653500).

Almost surely, 2^{102031211100312} is an apocalyptic number.

102031211100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102031211100312 is an abundant number, since it is smaller than the sum of its proper divisors (207489256547688).

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

102031211100312 is a wasteful number, since it uses less digits than its factorization.

102031211100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511773358 (or 511773348 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102031211100312 its reverse (213001112130201), we get a palindrome (315032323230513).

The spelling of 102031211100312 in words is "one hundred two trillion, thirty-one billion, two hundred eleven million, one hundred thousand, three hundred twelve".