102121120100 has 72 divisors (see below), whose sum is σ = 231510182400. Its totient is φ = 39026394880.

The previous prime is 102121120097. The next prime is 102121120109. The reversal of 102121120100 is 1021121201.

It is not an unprimeable number, because it can be changed into a prime (102121120109) 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, 1959176 + ... + 2010624.

It is an arithmetic number, because the mean of its divisors is an integer number (3215419200).

Almost surely, 2^102121120100 is an apocalyptic number.

102121120100 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 102121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115755091200).

102121120100 is an abundant number, since it is smaller than the sum of its proper divisors (129389062300).

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

102121120100 is a wasteful number, since it uses less digits than its factorization.

102121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52349 (or 52342 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102121120100 its reverse (1021121201), we get a palindrome (103142241301).

The spelling of 102121120100 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".