102121222120 has 64 divisors (see below), whose sum is σ = 234881337600. Its totient is φ = 39941925120.

The previous prime is 102121222117. The next prime is 102121222139. The reversal of 102121222120 is 21222121201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102121222094 and 102121222103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2026186 + ... + 2075974.

It is an arithmetic number, because the mean of its divisors is an integer number (3670020900).

Almost surely, 2^102121222120 is an apocalyptic number.

102121222120 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 102121222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440668800).

102121222120 is an abundant number, since it is smaller than the sum of its proper divisors (132760115480).

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

102121222120 is a wasteful number, since it uses less digits than its factorization.

102121222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50938 (or 50934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102121222120 its reverse (21222121201), we get a palindrome (123343343321).

The spelling of 102121222120 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".