21122010122000 has 80 divisors (see below), whose sum is σ = 51115836827952. Its totient is φ = 8441721113600.

The previous prime is 21122010121991. The next prime is 21122010122039. The reversal of 21122010122000 is 22101022112.

It can be written as a sum of positive squares in 8 ways, for example, as 13240021251856 + 7881988870144 = 3638684^2 + 2807488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21122010122000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040239 + ... + 6812238.

Almost surely, 2^{21122010122000} is an apocalyptic number.

21122010122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122010122000 is an abundant number, since it is smaller than the sum of its proper divisors (29993826705952).

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

21122010122000 is a wasteful number, since it uses less digits than its factorization.

21122010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853693 (or 8853677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122010122000 its reverse (22101022112), we get a palindrome (21144111144112).

The spelling of 21122010122000 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, one hundred twenty-two thousand".