201012122021100 has 144 divisors (see below), whose sum is σ = 630481059129600. Its totient is φ = 49152225312000.

The previous prime is 201012122021083. The next prime is 201012122021119. The reversal of 201012122021100 is 1120221210102.

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 201012122021100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170078550 + ... + 171256349.

It is an arithmetic number, because the mean of its divisors is an integer number (4378340688400).

Almost surely, 2^{201012122021100} is an apocalyptic number.

201012122021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012122021100 is an abundant number, since it is smaller than the sum of its proper divisors (429468937108500).

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

201012122021100 is a wasteful number, since it uses less digits than its factorization.

201012122021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341335080 (or 341335073 counting only the distinct ones).

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

Adding to 201012122021100 its reverse (1120221210102), we get a palindrome (202132343231202).

The spelling of 201012122021100 in words is "two hundred one trillion, twelve billion, one hundred twenty-two million, twenty-one thousand, one hundred".