20202112121100 has 1152 divisors, whose sum is σ = 76627035555840. Its totient is φ = 3994025656320.

The previous prime is 20202112121047. The next prime is 20202112121159. The reversal of 20202112121100 is 112121120202.

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 20202112121100.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17370689119 + ... + 17370690281.

It is an arithmetic number, because the mean of its divisors is an integer number (66516523920).

Almost surely, 2^{20202112121100} is an apocalyptic number.

20202112121100 is a gapful number since it is divisible by the number (20) 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 20202112121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313517777920).

20202112121100 is an abundant number, since it is smaller than the sum of its proper divisors (56424923434740).

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

20202112121100 is a wasteful number, since it uses less digits than its factorization.

20202112121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20202112121100 its reverse (112121120202), we get a palindrome (20314233241302).

The spelling of 20202112121100 in words is "twenty trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".