21121110202000 has 80 divisors (see below), whose sum is σ = 51409062716544. Its totient is φ = 8392494000000.

The previous prime is 21121110201959. The next prime is 21121110202021. The reversal of 21121110202000 is 20201112112.

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

It is a super-2 number, since 2×21121110202000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34666726 + ... + 35270725.

Almost surely, 2^{21121110202000} is an apocalyptic number.

21121110202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121110202000 is an abundant number, since it is smaller than the sum of its proper divisors (30287952514544).

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

21121110202000 is a wasteful number, since it uses less digits than its factorization.

21121110202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69937625 (or 69937609 counting only the distinct ones).

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

Adding to 21121110202000 its reverse (20201112112), we get a palindrome (21141311314112).

The spelling of 21121110202000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred two thousand".