102022102112000 has 576 divisors, whose sum is σ = 300527799656448. Its totient is φ = 33771479040000.

The previous prime is 102022102111981. The next prime is 102022102112017. The reversal of 102022102112000 is 211201220201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3006735035 + ... + 3006768965.

Almost surely, 2^{102022102112000} is an apocalyptic number.

102022102112000 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 102022102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150263899828224).

102022102112000 is an abundant number, since it is smaller than the sum of its proper divisors (198505697544448).

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

102022102112000 is an equidigital number, since it uses as much as digits as its factorization.

102022102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34433 (or 34409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022102112000 its reverse (211201220201), we get a palindrome (102233303332201).

The spelling of 102022102112000 in words is "one hundred two trillion, twenty-two billion, one hundred two million, one hundred twelve thousand".