102210211022112 has 72 divisors (see below), whose sum is σ = 296844549071616. Its totient is φ = 33345175222656.

The previous prime is 102210211022071. The next prime is 102210211022113. The reversal of 102210211022112 is 211220112012201.

102210211022112 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 211 + 0 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (102210211022113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3775481848 + ... + 3775508919.

It is an arithmetic number, because the mean of its divisors is an integer number (4122840959328).

Almost surely, 2^{102210211022112} is an apocalyptic number.

102210211022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210211022112 is an abundant number, since it is smaller than the sum of its proper divisors (194634338049504).

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

102210211022112 is a wasteful number, since it uses less digits than its factorization.

102210211022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550990830 (or 7550990819 counting only the distinct ones).

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

Adding to 102210211022112 its reverse (211220112012201), we get a palindrome (313430323034313).

The spelling of 102210211022112 in words is "one hundred two trillion, two hundred ten billion, two hundred eleven million, twenty-two thousand, one hundred twelve".