102111211202000 has 1280 divisors, whose sum is σ = 337685938716672. Its totient is φ = 28833408000000.

The previous prime is 102111211201973. The next prime is 102111211202047. The reversal of 102111211202000 is 202112111201.

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 255 ways as a sum of consecutive naturals, for example, 99040941485 + ... + 99040942515.

Almost surely, 2^{102111211202000} is an apocalyptic number.

102111211202000 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 102111211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168842969358336).

102111211202000 is an abundant number, since it is smaller than the sum of its proper divisors (235574727514672).

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

102111211202000 is a wasteful number, since it uses less digits than its factorization.

102111211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102111211202000 its reverse (202112111201), we get a palindrome (102313323313201).

The spelling of 102111211202000 in words is "one hundred two trillion, one hundred eleven billion, two hundred eleven million, two hundred two thousand".