10002121110021 has 16 divisors (see below), whose sum is σ = 13365823160000. Its totient is φ = 6653250949248.

The previous prime is 10002121110001. The next prime is 10002121110061. The reversal of 10002121110021 is 12001112120001.

It is not a de Polignac number, because 10002121110021 - 2⁵ = 10002121109989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002121109979 and 10002121110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002121110001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43344255 + ... + 43574403.

It is an arithmetic number, because the mean of its divisors is an integer number (835363947500).

Almost surely, 2^{10002121110021} is an apocalyptic number.

It is an amenable number.

10002121110021 is a deficient number, since it is larger than the sum of its proper divisors (3363702049979).

10002121110021 is a wasteful number, since it uses less digits than its factorization.

10002121110021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262308.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002121110021 its reverse (12001112120001), we get a palindrome (22003233230022).

The spelling of 10002121110021 in words is "ten trillion, two billion, one hundred twenty-one million, one hundred ten thousand, twenty-one".