102111120121100 has 72 divisors (see below), whose sum is σ = 223168747775568. Its totient is φ = 40552312780800.

The previous prime is 102111120121099. The next prime is 102111120121103. The reversal of 102111120121100 is 1121021111201.

It is not an unprimeable number, because it can be changed into a prime (102111120121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12719120 + ... + 19131080.

Almost surely, 2^{102111120121100} is an apocalyptic number.

102111120121100 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 102111120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111584373887784).

102111120121100 is an abundant number, since it is smaller than the sum of its proper divisors (121057627654468).

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

102111120121100 is a wasteful number, since it uses less digits than its factorization.

102111120121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413115 (or 6413108 counting only the distinct ones).

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

Adding to 102111120121100 its reverse (1121021111201), we get a palindrome (103232141232301).

The spelling of 102111120121100 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".