102211211112120 has 512 divisors, whose sum is σ = 383618363904000. Its totient is φ = 23994930516480.

The previous prime is 102211211112097. The next prime is 102211211112169. The reversal of 102211211112120 is 21211112112201.

It is a happy number.

102211211112120 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 211 + 112 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102211211112093 and 102211211112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45873399 + ... + 48049881.

It is an arithmetic number, because the mean of its divisors is an integer number (749254617000).

Almost surely, 2^{102211211112120} is an apocalyptic number.

102211211112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211211112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191809181952000).

102211211112120 is an abundant number, since it is smaller than the sum of its proper divisors (281407152791880).

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

102211211112120 is a wasteful number, since it uses less digits than its factorization.

102211211112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176640 (or 2176630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102211211112120 its reverse (21211112112201), we get a palindrome (123422323224321).

The spelling of 102211211112120 in words is "one hundred two trillion, two hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".