20101122010200 has 288 divisors, whose sum is σ = 79076845632960. Its totient is φ = 4176856454400.

The previous prime is 20101122010169. The next prime is 20101122010223. The reversal of 20101122010200 is 201022110102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 30754402 + ... + 31401201.

It is an arithmetic number, because the mean of its divisors is an integer number (274572380670).

Almost surely, 2^{20101122010200} is an apocalyptic number.

20101122010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101122010200 is an abundant number, since it is smaller than the sum of its proper divisors (58975723622760).

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

20101122010200 is a wasteful number, since it uses less digits than its factorization.

20101122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62155647 (or 62155631 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101122010200 its reverse (201022110102), we get a palindrome (20302144120302).

The spelling of 20101122010200 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, ten thousand, two hundred".