102210113220 has 96 divisors (see below), whose sum is σ = 292420896768. Its totient is φ = 26663021952.

The previous prime is 102210113197. The next prime is 102210113233. The reversal of 102210113220 is 22311012201.

102210113220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102210113220³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210113220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6610819 + ... + 6626261.

It is an arithmetic number, because the mean of its divisors is an integer number (3046051008).

Almost surely, 2^102210113220 is an apocalyptic number.

102210113220 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 102210113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146210448384).

102210113220 is an abundant number, since it is smaller than the sum of its proper divisors (190210783548).

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

102210113220 is a wasteful number, since it uses less digits than its factorization.

102210113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17849 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102210113220 its reverse (22311012201), we get a palindrome (124521125421).

The spelling of 102210113220 in words is "one hundred two billion, two hundred ten million, one hundred thirteen thousand, two hundred twenty".