102112220211210 has 96 divisors (see below), whose sum is σ = 289629216235008. Its totient is φ = 24754321388160.

The previous prime is 102112220211193. The next prime is 102112220211227. The reversal of 102112220211210 is 12112022211201.

102112220211210 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 2 + 220 + 211 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (102112220211193) and next prime (102112220211227).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269618439 + ... + 269996901.

It is an arithmetic number, because the mean of its divisors is an integer number (3016971002448).

Almost surely, 2^{102112220211210} is an apocalyptic number.

102112220211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102112220211210 is an abundant number, since it is smaller than the sum of its proper divisors (187516996023798).

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

102112220211210 is a wasteful number, since it uses less digits than its factorization.

102112220211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651020 (or 651017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112220211210 its reverse (12112022211201), we get a palindrome (114224242422411).

The spelling of 102112220211210 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, two hundred ten".