202112010100 has 432 divisors, whose sum is σ = 625492215936. Its totient is φ = 55617408000.

The previous prime is 202112010049. The next prime is 202112010103. The reversal of 202112010100 is 1010211202.

202112010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16109830 + ... + 16122370.

It is an arithmetic number, because the mean of its divisors is an integer number (1447898648).

Almost surely, 2^202112010100 is an apocalyptic number.

202112010100 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 202112010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312746107968).

202112010100 is an abundant number, since it is smaller than the sum of its proper divisors (423380205836).

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

202112010100 is a wasteful number, since it uses less digits than its factorization.

202112010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12602 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202112010100 its reverse (1010211202), we get a palindrome (203122221302).

The spelling of 202112010100 in words is "two hundred two billion, one hundred twelve million, ten thousand, one hundred".