102121020120 has 256 divisors, whose sum is σ = 352966947840. Its totient is φ = 23153614848.

The previous prime is 102121020019. The next prime is 102121020151. The reversal of 102121020120 is 21020121201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102121020096 and 102121020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61259527 + ... + 61261193.

It is an arithmetic number, because the mean of its divisors is an integer number (1378777140).

Almost surely, 2^102121020120 is an apocalyptic number.

102121020120 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 102121020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176483473920).

102121020120 is an abundant number, since it is smaller than the sum of its proper divisors (250845927720).

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

102121020120 is a wasteful number, since it uses less digits than its factorization.

102121020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102121020120 its reverse (21020121201), we get a palindrome (123141141321).

The spelling of 102121020120 in words is "one hundred two billion, one hundred twenty-one million, twenty thousand, one hundred twenty".