10000122100001 has 16 divisors (see below), whose sum is σ = 11372630985216. Its totient is φ = 8710654800000.

The previous prime is 10000122099971. The next prime is 10000122100019.

10000122100001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10000122100001 - 2¹⁸ = 10000121837857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000122100051) 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, 145143140 + ... + 145212021.

It is an arithmetic number, because the mean of its divisors is an integer number (710789436576).

Almost surely, 2^{10000122100001} is an apocalyptic number.

10000122100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000122100001 is a deficient number, since it is larger than the sum of its proper divisors (1372508885215).

10000122100001 is a wasteful number, since it uses less digits than its factorization.

10000122100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290355304.

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

It can be divided in two parts, 1000012 and 2100001, that multiplied together give a palindrome (2100026200012).

The spelling of 10000122100001 in words is "ten trillion, one hundred twenty-two million, one hundred thousand, one".