101112120012001 has 16 divisors (see below), whose sum is σ = 118059679678464. Its totient is φ = 84791688048144.

The previous prime is 101112120011809. The next prime is 101112120012019. The reversal of 101112120012001 is 100210021211101.

It is a happy number.

It is not a de Polignac number, because 101112120012001 - 2¹⁷ = 101112119880929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112120012301) 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, 56827905 + ... + 58580158.

It is an arithmetic number, because the mean of its divisors is an integer number (7378729979904).

Almost surely, 2^{101112120012001} is an apocalyptic number.

It is an amenable number.

101112120012001 is a deficient number, since it is larger than the sum of its proper divisors (16947559666463).

101112120012001 is a wasteful number, since it uses less digits than its factorization.

101112120012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115410780.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112120012001 its reverse (100210021211101), we get a palindrome (201322141223102).

The spelling of 101112120012001 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, one".