102121121202100 has 144 divisors (see below), whose sum is σ = 297536671184256. Its totient is φ = 29381501376000.

The previous prime is 102121121201947. The next prime is 102121121202119. The reversal of 102121121202100 is 1202121121201.

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, 509995411 + ... + 510195610.

It is an arithmetic number, because the mean of its divisors is an integer number (2066226883224).

Almost surely, 2^{102121121202100} is an apocalyptic number.

102121121202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121121202100 is an abundant number, since it is smaller than the sum of its proper divisors (195415549982156).

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

102121121202100 is a wasteful number, since it uses less digits than its factorization.

102121121202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020191066 (or 1020191059 counting only the distinct ones).

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

Adding to 102121121202100 its reverse (1202121121201), we get a palindrome (103323242323301).

The spelling of 102121121202100 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred".