10021122112001 has 32 divisors (see below), whose sum is σ = 14163087590400. Its totient is φ = 6828631490880.

The previous prime is 10021122111997. The next prime is 10021122112019.

10021122112001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10021122112001 - 2² = 10021122111997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10021122112091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263431271 + ... + 263469308.

It is an arithmetic number, because the mean of its divisors is an integer number (442596487200).

Almost surely, 2^{10021122112001} is an apocalyptic number.

10021122112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021122112001 is a deficient number, since it is larger than the sum of its proper divisors (4141965478399).

10021122112001 is a wasteful number, since it uses less digits than its factorization.

10021122112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526900629.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1002112 and 2112001, that added together give a palindrome (3114113).

The spelling of 10021122112001 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one".