10022100122001 has 32 divisors (see below), whose sum is σ = 14857880896512. Its totient is φ = 5957297178560.

The previous prime is 10022100121987. The next prime is 10022100122033.

10022100122001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10022100122001 - 2²¹ = 10022098024849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10022100122071) 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, 3964636 + ... + 5980178.

It is an arithmetic number, because the mean of its divisors is an integer number (464308778016).

Almost surely, 2^{10022100122001} is an apocalyptic number.

10022100122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022100122001 is a deficient number, since it is larger than the sum of its proper divisors (4835780774511).

10022100122001 is a wasteful number, since it uses less digits than its factorization.

10022100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018453.

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

It can be divided in two parts, 10022100 and 122001, that added together give a palindrome (10144101).

The spelling of 10022100122001 in words is "ten trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one".