102121212222120 has 384 divisors, whose sum is σ = 394169085475200. Its totient is φ = 20964116404224.

The previous prime is 102121212222097. The next prime is 102121212222203. The reversal of 102121212222120 is 21222212121201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15225310 + ... + 20881869.

It is an arithmetic number, because the mean of its divisors is an integer number (1026481993425).

Almost surely, 2^{102121212222120} is an apocalyptic number.

102121212222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121212222120 is an abundant number, since it is smaller than the sum of its proper divisors (292047873253080).

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

102121212222120 is a wasteful number, since it uses less digits than its factorization.

102121212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36107257 (or 36107246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102121212222120 its reverse (21222212121201), we get a palindrome (123343424343321).

The spelling of 102121212222120 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".