102121212122120 has 32 divisors (see below), whose sum is σ = 232047704781720. Its totient is φ = 40444044403200.

The previous prime is 102121212122107. The next prime is 102121212122177. The reversal of 102121212122120 is 21221212121201.

It can be written as a sum of positive squares in 4 ways, for example, as 102082369230724 + 38842891396 = 10103582^2 + 197086^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102121212122092 and 102121212122101.

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 7 ways as a sum of consecutive naturals, for example, 12638759837 + ... + 12638767916.

Almost surely, 2^{102121212122120} is an apocalyptic number.

102121212122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121212122120 is an abundant number, since it is smaller than the sum of its proper divisors (129926492659600).

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

102121212122120 is a wasteful number, since it uses less digits than its factorization.

102121212122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25277527865 (or 25277527861 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102121212122120 its reverse (21221212121201), we get a palindrome (123342424243321).

The spelling of 102121212122120 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".