102020112222100 has 72 divisors (see below), whose sum is σ = 225041297607000. Its totient is φ = 40133991897600.

The previous prime is 102020112222097. The next prime is 102020112222109. The reversal of 102020112222100 is 1222211020201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 39344833322116 + 62675278899984 = 6272546^2 + 7916772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020112222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47436906 + ... + 49540894.

It is an arithmetic number, because the mean of its divisors is an integer number (3125573577875).

Almost surely, 2^{102020112222100} is an apocalyptic number.

102020112222100 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 102020112222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112520648803500).

102020112222100 is an abundant number, since it is smaller than the sum of its proper divisors (123021185384900).

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

102020112222100 is a wasteful number, since it uses less digits than its factorization.

102020112222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112013 (or 2112006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102020112222100 its reverse (1222211020201), we get a palindrome (103242323242301).

The spelling of 102020112222100 in words is "one hundred two trillion, twenty billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".