21121100122100 has 36 divisors (see below), whose sum is σ = 49999404291648. Its totient is φ = 7680400044000.

The previous prime is 21121100122099. The next prime is 21121100122223. The reversal of 21121100122100 is 122100112112.

It is a super-2 number, since 2×21121100122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 9600498956 + ... + 9600501155.

Almost surely, 2^{21121100122100} is an apocalyptic number.

21121100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121100122100 is an abundant number, since it is smaller than the sum of its proper divisors (28878304169548).

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

21121100122100 is a wasteful number, since it uses less digits than its factorization.

21121100122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201000136 (or 19201000129 counting only the distinct ones).

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

Adding to 21121100122100 its reverse (122100112112), we get a palindrome (21243200234212).

It can be divided in two parts, 2112110012 and 2100, that added together give a palindrome (2112112112).

The spelling of 21121100122100 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, one hundred".