102202011112000 has 112 divisors (see below), whose sum is σ = 253122689364480. Its totient is φ = 40877669568000.

The previous prime is 102202011111973. The next prime is 102202011112001. The reversal of 102202011112000 is 211110202201.

It is not an unprimeable number, because it can be changed into a prime (102202011112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105268785 + ... + 106235215.

Almost surely, 2^{102202011112000} is an apocalyptic number.

102202011112000 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 102202011112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126561344682240).

102202011112000 is an abundant number, since it is smaller than the sum of its proper divisors (150920678252480).

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

102202011112000 is an equidigital number, since it uses as much as digits as its factorization.

102202011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979677 (or 979657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102202011112000 its reverse (211110202201), we get a palindrome (102413121314201).

The spelling of 102202011112000 in words is "one hundred two trillion, two hundred two billion, eleven million, one hundred twelve thousand".