10021000012001 has 64 divisors (see below), whose sum is σ = 11362373003520. Its totient is φ = 8759224320000.

The previous prime is 10021000011941. The next prime is 10021000012007.

10021000012001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10021000012001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021000012001.

It is not an unprimeable number, because it can be changed into a prime (10021000012007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7774242965 + ... + 7774244253.

It is an arithmetic number, because the mean of its divisors is an integer number (177537078180).

Almost surely, 2^{10021000012001} is an apocalyptic number.

10021000012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021000012001 is a deficient number, since it is larger than the sum of its proper divisors (1341372991519).

10021000012001 is a wasteful number, since it uses less digits than its factorization.

10021000012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 100210000 and 12001, that added together give a palindrome (100222001).

The spelling of 10021000012001 in words is "ten trillion, twenty-one billion, twelve thousand, one".