102021211111100 has 144 divisors (see below), whose sum is σ = 235379792749920. Its totient is φ = 38272269312000.

The previous prime is 102021211111093. The next prime is 102021211111121. The reversal of 102021211111100 is 1111112120201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1446315032 + ... + 1446385568.

Almost surely, 2^{102021211111100} is an apocalyptic number.

102021211111100 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 102021211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117689896374960).

102021211111100 is an abundant number, since it is smaller than the sum of its proper divisors (133358581638820).

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

102021211111100 is a wasteful number, since it uses less digits than its factorization.

102021211111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78208 (or 78201 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102021211111100 its reverse (1111112120201), we get a palindrome (103132323231301).

The spelling of 102021211111100 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred".