102112210000220 has 96 divisors (see below), whose sum is σ = 246180602000256. Its totient is φ = 34851490790400.

The previous prime is 102112210000159. The next prime is 102112210000399. The reversal of 102112210000220 is 22000012211201.

It is a super-2 number, since 2×102112210000220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102112210000195 and 102112210000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26443790 + ... + 30058250.

It is an arithmetic number, because the mean of its divisors is an integer number (2564381270836).

Almost surely, 2^{102112210000220} is an apocalyptic number.

102112210000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112210000220 is an abundant number, since it is smaller than the sum of its proper divisors (144068392000036).

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

102112210000220 is a wasteful number, since it uses less digits than its factorization.

102112210000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615391 (or 3615389 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102112210000220 its reverse (22000012211201), we get a palindrome (124112222211421).

The spelling of 102112210000220 in words is "one hundred two trillion, one hundred twelve billion, two hundred ten million, two hundred twenty", and thus it is an aban number.