102210021100112 has 80 divisors (see below), whose sum is σ = 202516096308432. Its totient is φ = 49961271951360.

The previous prime is 102210021100087. The next prime is 102210021100139. The reversal of 102210021100112 is 211001120012201.

102210021100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15955039629376 + 86254981470736 = 3994376^2 + 9287356^2 .

It is a super-3 number, since 3×102210021100112³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105287408 + ... + 106253744.

Almost surely, 2^{102210021100112} is an apocalyptic number.

It is an amenable number.

102210021100112 is a deficient number, since it is larger than the sum of its proper divisors (100306075208320).

102210021100112 is a wasteful number, since it uses less digits than its factorization.

102210021100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967216 (or 967210 counting only the distinct ones).

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

Adding to 102210021100112 its reverse (211001120012201), we get a palindrome (313211141112313).

The spelling of 102210021100112 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, one hundred thousand, one hundred twelve".