2101100101121 has 8 divisors (see below), whose sum is σ = 2411220983424. Its totient is φ = 1793470150080.

The previous prime is 2101100101097. The next prime is 2101100101129. The reversal of 2101100101121 is 1211010011012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-2101100101121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101100101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622731005 + ... + 622734378.

It is an arithmetic number, because the mean of its divisors is an integer number (301402622928).

Almost surely, 2^{2101100101121} is an apocalyptic number.

It is an amenable number.

2101100101121 is a deficient number, since it is larger than the sum of its proper divisors (310120882303).

2101100101121 is a wasteful number, since it uses less digits than its factorization.

2101100101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245465631.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101100101121 its reverse (1211010011012), we get a palindrome (3312110112133).

The spelling of 2101100101121 in words is "two trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred twenty-one".