2101122112001 has 16 divisors (see below), whose sum is σ = 2427012357120. Its totient is φ = 1797716148480.

The previous prime is 2101122111961. The next prime is 2101122112043. The reversal of 2101122112001 is 1002112211012.

It is a cyclic number.

It is not a de Polignac number, because 2101122112001 - 2⁶ = 2101122111937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101122112081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14709215 + ... + 14851371.

It is an arithmetic number, because the mean of its divisors is an integer number (151688272320).

Almost surely, 2^{2101122112001} is an apocalyptic number.

It is an amenable number.

2101122112001 is a deficient number, since it is larger than the sum of its proper divisors (325890245119).

2101122112001 is a wasteful number, since it uses less digits than its factorization.

2101122112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221224.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101122112001 its reverse (1002112211012), we get a palindrome (3103234323013).

It can be divided in two parts, 210 and 1122112001, that added together give a palindrome (1122112211).

The spelling of 2101122112001 in words is "two trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one".