21001200112000 has 64 divisors (see below), whose sum is σ = 52214233818240. Its totient is φ = 8400480038400.

The previous prime is 21001200111971. The next prime is 21001200112019. The reversal of 21001200112000 is 21100210012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21001200112000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 7 ways as a sum of consecutive naturals, for example, 656271504 + ... + 656303503.

It is an arithmetic number, because the mean of its divisors is an integer number (815847403410).

Almost surely, 2^{21001200112000} is an apocalyptic number.

21001200112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001200112000 is an abundant number, since it is smaller than the sum of its proper divisors (31213033706240).

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

21001200112000 is an equidigital number, since it uses as much as digits as its factorization.

21001200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312575036 (or 1312575014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21001200112000 its reverse (21100210012), we get a palindrome (21022300322012).

The spelling of 21001200112000 in words is "twenty-one trillion, one billion, two hundred million, one hundred twelve thousand".