21122211113000 has 64 divisors (see below), whose sum is σ = 49430393363520. Its totient is φ = 8448129000000.

The previous prime is 21122211112997. The next prime is 21122211113021. The reversal of 21122211113000 is 31111222112.

It is a happy number.

It is a super-2 number, since 2×21122211113000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122211113000.

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 15 ways as a sum of consecutive naturals, for example, 10312319 + ... + 12189681.

It is an arithmetic number, because the mean of its divisors is an integer number (772349896305).

Almost surely, 2^{21122211113000} is an apocalyptic number.

21122211113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122211113000 is an abundant number, since it is smaller than the sum of its proper divisors (28308182250520).

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

21122211113000 is a wasteful number, since it uses less digits than its factorization.

21122211113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888635 (or 1888621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21122211113000 its reverse (31111222112), we get a palindrome (21153322335112).

The spelling of 21122211113000 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred thirteen thousand".