100111001200001 has 24 divisors (see below), whose sum is σ = 114836344671552. Its totient is φ = 87043446784800.

The previous prime is 100111001199967. The next prime is 100111001200009. The reversal of 100111001200001 is 100002100111001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100111001200001 is a prime.

It is a super-2 number, since 2×100111001200001² (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 (100111001200009) 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, 23321795 + ... + 27278711.

It is an arithmetic number, because the mean of its divisors is an integer number (4784847694648).

Almost surely, 2^{100111001200001} is an apocalyptic number.

100111001200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111001200001 is a deficient number, since it is larger than the sum of its proper divisors (14725343471551).

100111001200001 is a wasteful number, since it uses less digits than its factorization.

100111001200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966053 (or 3966042 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111001200001 its reverse (100002100111001), we get a palindrome (200113101311002).

The spelling of 100111001200001 in words is "one hundred trillion, one hundred eleven billion, one million, two hundred thousand, one".