202121002000100 has 36 divisors (see below), whose sum is σ = 438672988691700. Its totient is φ = 80835421196160.

The previous prime is 202121002000051. The next prime is 202121002000109. The reversal of 202121002000100 is 1000200121202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7768628775076 + 194352373225024 = 2787226^2 + 13941032^2 .

It is not an unprimeable number, because it can be changed into a prime (202121002000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161619035 + ... + 162864834.

Almost surely, 2^{202121002000100} is an apocalyptic number.

202121002000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121002000100 is an abundant number, since it is smaller than the sum of its proper divisors (236551986691600).

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

202121002000100 is a wasteful number, since it uses less digits than its factorization.

202121002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324490112 (or 324490105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202121002000100 its reverse (1000200121202), we get a palindrome (203121202121302).

The spelling of 202121002000100 in words is "two hundred two trillion, one hundred twenty-one billion, two million, one hundred", and thus it is an aban number.