2101121122321 has 16 divisors (see below), whose sum is σ = 2294717439168. Its totient is φ = 1912263998400.

The previous prime is 2101121122301. The next prime is 2101121122349. The reversal of 2101121122321 is 1232211211012.

It is a cyclic number.

It is not a de Polignac number, because 2101121122321 - 2¹³ = 2101121114129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101121122301) 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, 3285910 + ... + 3872911.

It is an arithmetic number, because the mean of its divisors is an integer number (143419839948).

Almost surely, 2^{2101121122321} is an apocalyptic number.

It is an amenable number.

2101121122321 is a deficient number, since it is larger than the sum of its proper divisors (193596316847).

2101121122321 is a wasteful number, since it uses less digits than its factorization.

2101121122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159152.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2101121122321 its reverse (1232211211012), we get a palindrome (3333332333333).

The spelling of 2101121122321 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty-one".