102210102120 has 256 divisors, whose sum is σ = 371364134400. Its totient is φ = 22006333440.

The previous prime is 102210102107. The next prime is 102210102151. The reversal of 102210102120 is 21201012201.

It is a super-3 number, since 3×102210102120³ (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 = 102210102096 and 102210102105.

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, 947592 + ... + 1049928.

It is an arithmetic number, because the mean of its divisors is an integer number (1450641150).

Almost surely, 2^102210102120 is an apocalyptic number.

102210102120 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 102210102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185682067200).

102210102120 is an abundant number, since it is smaller than the sum of its proper divisors (269154032280).

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

102210102120 is a wasteful number, since it uses less digits than its factorization.

102210102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102428 (or 102424 counting only the distinct ones).

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

Adding to 102210102120 its reverse (21201012201), we get a palindrome (123411114321).

The spelling of 102210102120 in words is "one hundred two billion, two hundred ten million, one hundred two thousand, one hundred twenty".