102210120120 has 64 divisors (see below), whose sum is σ = 307216840320. Its totient is φ = 27203900544.

The previous prime is 102210120101. The next prime is 102210120151. The reversal of 102210120120 is 21021012201.

It is a super-3 number, since 3×102210120120³ (a number of 34 digits) contains 333 as substring.

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 = 102210120096 and 102210120105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 751534 + ... + 877053.

It is an arithmetic number, because the mean of its divisors is an integer number (4800263130).

Almost surely, 2^102210120120 is an apocalyptic number.

102210120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210120120 is an abundant number, since it is smaller than the sum of its proper divisors (205006720200).

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

102210120120 is a wasteful number, since it uses less digits than its factorization.

102210120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629124 (or 1629120 counting only the distinct ones).

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

Adding to 102210120120 its reverse (21021012201), we get a palindrome (123231132321).

The spelling of 102210120120 in words is "one hundred two billion, two hundred ten million, one hundred twenty thousand, one hundred twenty".