100113011122001 has 16 divisors (see below), whose sum is σ = 102094345691520. Its totient is φ = 98151251299200.

The previous prime is 100113011121983. The next prime is 100113011122031. The reversal of 100113011122001 is 100221110311001.

It is a cyclic number.

It is not a de Polignac number, because 100113011122001 - 2¹⁴ = 100113011105617 is a prime.

It is a super-2 number, since 2×100113011122001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100113011122031) 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, 126136085 + ... + 126927293.

It is an arithmetic number, because the mean of its divisors is an integer number (6380896605720).

Almost surely, 2^{100113011122001} is an apocalyptic number.

It is an amenable number.

100113011122001 is a deficient number, since it is larger than the sum of its proper divisors (1981334569519).

100113011122001 is a wasteful number, since it uses less digits than its factorization.

100113011122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803576.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100113011122001 its reverse (100221110311001), we get a palindrome (200334121433002).

The spelling of 100113011122001 in words is "one hundred trillion, one hundred thirteen billion, eleven million, one hundred twenty-two thousand, one".