20121011122100 has 36 divisors (see below), whose sum is σ = 49900107584544. Its totient is φ = 6898632384480.

The previous prime is 20121011121997. The next prime is 20121011122139. The reversal of 20121011122100 is 122111012102.

It is a super-2 number, since 2×20121011122100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14372150102 + ... + 14372151501.

Almost surely, 2^{20121011122100} is an apocalyptic number.

20121011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121011122100 is an abundant number, since it is smaller than the sum of its proper divisors (29779096462444).

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

20121011122100 is a wasteful number, since it uses less digits than its factorization.

20121011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28744301624 (or 28744301617 counting only the distinct ones).

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

Adding to 20121011122100 its reverse (122111012102), we get a palindrome (20243122134202).

The spelling of 20121011122100 in words is "twenty trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred".