102121121022100 has 72 divisors (see below), whose sum is σ = 223401336781280. Its totient is φ = 40517464740480.

The previous prime is 102121121022023. The next prime is 102121121022113. The reversal of 102121121022100 is 1220121121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11831839 + ... + 18553561.

Almost surely, 2^{102121121022100} is an apocalyptic number.

102121121022100 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 102121121022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700668390640).

102121121022100 is an abundant number, since it is smaller than the sum of its proper divisors (121280215759180).

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

102121121022100 is a wasteful number, since it uses less digits than its factorization.

102121121022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722969 (or 6722962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102121121022100 its reverse (1220121121201), we get a palindrome (103341242143301).

The spelling of 102121121022100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, one hundred".