2111012112001 has 24 divisors (see below), whose sum is σ = 2318106126336. Its totient is φ = 1921183505280.

The previous prime is 2111012111981. The next prime is 2111012112017. The reversal of 2111012112001 is 1002112101112.

It is a happy number.

It is not a de Polignac number, because 2111012112001 - 2⁹ = 2111012111489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2111012112091) 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, 32920096 + ... + 32984158.

It is an arithmetic number, because the mean of its divisors is an integer number (96587755264).

Almost surely, 2^{2111012112001} is an apocalyptic number.

It is an amenable number.

2111012112001 is a deficient number, since it is larger than the sum of its proper divisors (207094014335).

2111012112001 is a wasteful number, since it uses less digits than its factorization.

2111012112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66833 (or 66820 counting only the distinct ones).

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

Adding to 2111012112001 its reverse (1002112101112), we get a palindrome (3113124213113).

The spelling of 2111012112001 in words is "two trillion, one hundred eleven billion, twelve million, one hundred twelve thousand, one".