102401202111312 has 120 divisors (see below), whose sum is σ = 290485218523968. Its totient is φ = 31064286489600.

The previous prime is 102401202111301. The next prime is 102401202111413. The reversal of 102401202111312 is 213111202104201.

It is a super-2 number, since 2×102401202111312² (a number of 29 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 88321389 + ... + 89473292.

Almost surely, 2^{102401202111312} is an apocalyptic number.

102401202111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102401202111312 is an abundant number, since it is smaller than the sum of its proper divisors (188084016412656).

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

102401202111312 is a wasteful number, since it uses less digits than its factorization.

102401202111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177794789 (or 177794770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 102401202111312 its reverse (213111202104201), we get a palindrome (315512404215513).

The spelling of 102401202111312 in words is "one hundred two trillion, four hundred one billion, two hundred two million, one hundred eleven thousand, three hundred twelve".