102210110112000 has 288 divisors, whose sum is σ = 370353691903104. Its totient is φ = 24778208256000.

The previous prime is 102210110111969. The next prime is 102210110112029. The reversal of 102210110112000 is 211011012201.

It is a super-3 number, since 3×102210110112000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47338939 + ... + 49450938.

It is an arithmetic number, because the mean of its divisors is an integer number (1285950319108).

Almost surely, 2^{102210110112000} is an apocalyptic number.

102210110112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210110112000 is an abundant number, since it is smaller than the sum of its proper divisors (268143581791104).

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

102210110112000 is an equidigital number, since it uses as much as digits as its factorization.

102210110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96789922 (or 96789898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210110112000 its reverse (211011012201), we get a palindrome (102421121124201).

The spelling of 102210110112000 in words is "one hundred two trillion, two hundred ten billion, one hundred ten million, one hundred twelve thousand".