102220000122120 has 128 divisors (see below), whose sum is σ = 311705114595840. Its totient is φ = 26810263434240.

The previous prime is 102220000122103. The next prime is 102220000122127. The reversal of 102220000122120 is 21221000022201.

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 102220000122120.

It is not an unprimeable number, because it can be changed into a prime (102220000122127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129955134 + ... + 130739346.

It is an arithmetic number, because the mean of its divisors is an integer number (2435196207780).

Almost surely, 2^{102220000122120} is an apocalyptic number.

102220000122120 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 102220000122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155852557297920).

102220000122120 is an abundant number, since it is smaller than the sum of its proper divisors (209485114473720).

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

102220000122120 is a wasteful number, since it uses less digits than its factorization.

102220000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802095 (or 802091 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220000122120 its reverse (21221000022201), we get a palindrome (123441000144321).

The spelling of 102220000122120 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-two thousand, one hundred twenty".