10001111122001 has 64 divisors (see below), whose sum is σ = 10968370237440. Its totient is φ = 9087422400000.

The previous prime is 10001111121979. The next prime is 10001111122019. The reversal of 10001111122001 is 10022111110001.

It is a cyclic number.

It is not a de Polignac number, because 10001111122001 - 2³⁸ = 9726233215057 is a prime.

It is a super-2 number, since 2×10001111122001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111122021) 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, 12331825886 + ... + 12331826696.

It is an arithmetic number, because the mean of its divisors is an integer number (171380784960).

Almost surely, 2^{10001111122001} is an apocalyptic number.

It is an amenable number.

10001111122001 is a deficient number, since it is larger than the sum of its proper divisors (967259115439).

10001111122001 is a wasteful number, since it uses less digits than its factorization.

10001111122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001111122001 its reverse (10022111110001), we get a palindrome (20023222232002).

The spelling of 10001111122001 in words is "ten trillion, one billion, one hundred eleven million, one hundred twenty-two thousand, one".