10112122111001 has 16 divisors (see below), whose sum is σ = 10727771500800. Its totient is φ = 9512424187200.

The previous prime is 10112122110997. The next prime is 10112122111079. The reversal of 10112122111001 is 10011122121101.

It is a cyclic number.

It is not a de Polignac number, because 10112122111001 - 2² = 10112122110997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10112122111901) 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, 14261405 + ... + 14953658.

It is an arithmetic number, because the mean of its divisors is an integer number (670485718800).

Almost surely, 2^{10112122111001} is an apocalyptic number.

It is an amenable number.

10112122111001 is a deficient number, since it is larger than the sum of its proper divisors (615649389799).

10112122111001 is a wasteful number, since it uses less digits than its factorization.

10112122111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29215336.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112122111001 its reverse (10011122121101), we get a palindrome (20123244232102).

It can be divided in two parts, 1011212 and 2111001, that added together give a palindrome (3122213).

The spelling of 10112122111001 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one".