101112111010001 has 16 divisors (see below), whose sum is σ = 124527386143104. Its totient is φ = 79948262594304.

The previous prime is 101112111009991. The next prime is 101112111010033. The reversal of 101112111010001 is 100010111211101.

It is a happy number.

It is not a de Polignac number, because 101112111010001 - 2³⁰ = 101111037268177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101112111010201) 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, 364642136 + ... + 364919321.

It is an arithmetic number, because the mean of its divisors is an integer number (7782961633944).

Almost surely, 2^{101112111010001} is an apocalyptic number.

It is an amenable number.

101112111010001 is a deficient number, since it is larger than the sum of its proper divisors (23415275133103).

101112111010001 is a wasteful number, since it uses less digits than its factorization.

101112111010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729563000.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101112111010001 its reverse (100010111211101), we get a palindrome (201122222221102).

The spelling of 101112111010001 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, ten thousand, one".