2101121122319 has 8 divisors (see below), whose sum is σ = 2108854025280. Its totient is φ = 2093402396800.

The previous prime is 2101121122301. The next prime is 2101121122349. The reversal of 2101121122319 is 9132211211012.

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

It is a cyclic number.

It is not a de Polignac number, because 2101121122319 - 2⁸ = 2101121122063 is a prime.

It is a super-2 number, since 2×2101121122319² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121122349) 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, 3247367 + ... + 3840264.

It is an arithmetic number, because the mean of its divisors is an integer number (263606753160).

Almost surely, 2^{2101121122319} is an apocalyptic number.

2101121122319 is a deficient number, since it is larger than the sum of its proper divisors (7732902961).

2101121122319 is an equidigital number, since it uses as much as digits as its factorization.

2101121122319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088721.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 2101121122319 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred nineteen".