2121101012095 has 16 divisors (see below), whose sum is σ = 2742827415552. Its totient is φ = 1565373081600.

The previous prime is 2121101012081. The next prime is 2121101012113. The reversal of 2121101012095 is 5902101011212.

It is not a de Polignac number, because 2121101012095 - 2¹¹ = 2121101010047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10087167 + ... + 10295296.

It is an arithmetic number, because the mean of its divisors is an integer number (171426713472).

Almost surely, 2^{2121101012095} is an apocalyptic number.

2121101012095 is a deficient number, since it is larger than the sum of its proper divisors (621726403457).

2121101012095 is a wasteful number, since it uses less digits than its factorization.

2121101012095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20384082.

The product of its (nonzero) digits is 360, while the sum is 25.

The spelling of 2121101012095 in words is "two trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, ninety-five".