21431102200100 has 36 divisors (see below), whose sum is σ = 46506579719124. Its totient is φ = 8572240337280.

The previous prime is 21431102200093. The next prime is 21431102200111. The reversal of 21431102200100 is 100220113412.

It can be written as a sum of positive squares in 6 ways, for example, as 324116153344 + 21106986046756 = 569312^2 + 4594234^2 .

It is a super-2 number, since 2×21431102200100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1826474 + ... + 6796926.

Almost surely, 2^{21431102200100} is an apocalyptic number.

21431102200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21431102200100 is an abundant number, since it is smaller than the sum of its proper divisors (25075477519024).

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

21431102200100 is a wasteful number, since it uses less digits than its factorization.

21431102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013584 (or 5013577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21431102200100 its reverse (100220113412), we get a palindrome (21531322313512).

The spelling of 21431102200100 in words is "twenty-one trillion, four hundred thirty-one billion, one hundred two million, two hundred thousand, one hundred".