10002112220021 has 16 divisors (see below), whose sum is σ = 10362506674176. Its totient is φ = 9644136750000.

The previous prime is 10002112219973. The next prime is 10002112220039. The reversal of 10002112220021 is 12002221120001.

It is a cyclic number.

It is not a de Polignac number, because 10002112220021 - 2¹⁰ = 10002112218997 is a prime.

It is a super-2 number, since 2×10002112220021² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002112219978 and 10002112220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002112220621) 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, 9535706 + ... + 10532516.

It is an arithmetic number, because the mean of its divisors is an integer number (647656667136).

Almost surely, 2^{10002112220021} is an apocalyptic number.

It is an amenable number.

10002112220021 is a deficient number, since it is larger than the sum of its proper divisors (360394454155).

10002112220021 is an equidigital number, since it uses as much as digits as its factorization.

10002112220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998024.

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

Adding to 10002112220021 its reverse (12002221120001), we get a palindrome (22004333340022).

The spelling of 10002112220021 in words is "ten trillion, two billion, one hundred twelve million, two hundred twenty thousand, twenty-one".