102111002112000 has 832 divisors, whose sum is σ = 411167847527424. Its totient is φ = 21966697267200.

The previous prime is 102111002111981. The next prime is 102111002112001. The reversal of 102111002112000 is 211200111201.

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

It is not an unprimeable number, because it can be changed into a prime (102111002112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182504679 + ... + 183063321.

It is an arithmetic number, because the mean of its divisors is an integer number (494192124432).

Almost surely, 2^{102111002112000} is an apocalyptic number.

102111002112000 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 102111002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205583923763712).

102111002112000 is an abundant number, since it is smaller than the sum of its proper divisors (309056845415424).

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

102111002112000 is an equidigital number, since it uses as much as digits as its factorization.

102111002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558709 (or 558677 counting only the distinct ones).

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

Adding to 102111002112000 its reverse (211200111201), we get a palindrome (102322202223201).

The spelling of 102111002112000 in words is "one hundred two trillion, one hundred eleven billion, two million, one hundred twelve thousand".