10021022012001 has 128 divisors (see below), whose sum is σ = 18318277103616. Its totient is φ = 4704850759680.

The previous prime is 10021022011993. The next prime is 10021022012051.

10021022012001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10021022012001 - 2³ = 10021022011993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021022012051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29866170 + ... + 30199836.

It is an arithmetic number, because the mean of its divisors is an integer number (143111539872).

Almost surely, 2^{10021022012001} is an apocalyptic number.

10021022012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021022012001 is a deficient number, since it is larger than the sum of its proper divisors (8297255091615).

10021022012001 is a wasteful number, since it uses less digits than its factorization.

10021022012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333911.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1002102 and 2012001, that added together give a palindrome (3014103).

The spelling of 10021022012001 in words is "ten trillion, twenty-one billion, twenty-two million, twelve thousand, one".