20002202112100 has 72 divisors (see below), whose sum is σ = 47883695825448. Its totient is φ = 7205296051200.

The previous prime is 20002202112089. The next prime is 20002202112149. The reversal of 20002202112100 is 121120220002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19052544066084 + 949658046016 = 4364922^2 + 974504^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187584619 + ... + 187691218.

It is an arithmetic number, because the mean of its divisors is an integer number (665051330909).

Almost surely, 2^{20002202112100} is an apocalyptic number.

20002202112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002202112100 is an abundant number, since it is smaller than the sum of its proper divisors (27881493713348).

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

20002202112100 is a wasteful number, since it uses less digits than its factorization.

20002202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375275905 (or 375275898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20002202112100 its reverse (121120220002), we get a palindrome (20123322332102).

The spelling of 20002202112100 in words is "twenty trillion, two billion, two hundred two million, one hundred twelve thousand, one hundred".