21121210201000 has 256 divisors, whose sum is σ = 63473834511360. Its totient is φ = 6393883161600.

The previous prime is 21121210200971. The next prime is 21121210201009. The reversal of 21121210201000 is 10201212112.

It is a super-2 number, since 2×21121210201000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (21121210201009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2952679 + ... + 7138678.

It is an arithmetic number, because the mean of its divisors is an integer number (247944666060).

Almost surely, 2^{21121210201000} is an apocalyptic number.

21121210201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121210201000 is an abundant number, since it is smaller than the sum of its proper divisors (42352624310360).

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

21121210201000 is a wasteful number, since it uses less digits than its factorization.

21121210201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091421 (or 10091407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121210201000 its reverse (10201212112), we get a palindrome (21131411413112).

The spelling of 21121210201000 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred ten million, two hundred one thousand".