100001001122001 has 24 divisors (see below), whose sum is σ = 170406211848704. Its totient is φ = 55300092785280.

The previous prime is 100001001121999. The next prime is 100001001122041. The reversal of 100001001122001 is 100221100100001.

It is a happy number.

It is not a de Polignac number, because 100001001122001 - 2¹ = 100001001121999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001001122041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25601892856 + ... + 25601896761.

Almost surely, 2^{100001001122001} is an apocalyptic number.

It is an amenable number.

100001001122001 is a deficient number, since it is larger than the sum of its proper divisors (70405210726703).

100001001122001 is a wasteful number, since it uses less digits than its factorization.

100001001122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51203789661 (or 51203789658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100001001122001 its reverse (100221100100001), we get a palindrome (200222101222002).

The spelling of 100001001122001 in words is "one hundred trillion, one billion, one million, one hundred twenty-two thousand, one".