21121112020100 has 36 divisors (see below), whose sum is σ = 45938662630644. Its totient is φ = 8428933370880.

The previous prime is 21121112020069. The next prime is 21121112020109. The reversal of 21121112020100 is 102021112112.

It can be written as a sum of positive squares in 6 ways, for example, as 8900997770116 + 12220114249984 = 2983454^2 + 3495728^2 .

It is a super-2 number, since 2×21121112020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121112020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243849449 + ... + 243936048.

Almost surely, 2^{21121112020100} is an apocalyptic number.

21121112020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121112020100 is an abundant number, since it is smaller than the sum of its proper divisors (24817550610544).

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

21121112020100 is a wasteful number, since it uses less digits than its factorization.

21121112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487785944 (or 487785937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21121112020100 its reverse (102021112112), we get a palindrome (21223133132212).

The spelling of 21121112020100 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twelve million, twenty thousand, one hundred".