2101434011321 has 16 divisors (see below), whose sum is σ = 2206427731200. Its totient is φ = 1999314280320.

The previous prime is 2101434011251. The next prime is 2101434011407. The reversal of 2101434011321 is 1231104341012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101434011321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101434011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434671 + ... + 2502228.

It is an arithmetic number, because the mean of its divisors is an integer number (137901733200).

Almost surely, 2^{2101434011321} is an apocalyptic number.

It is an amenable number.

2101434011321 is a deficient number, since it is larger than the sum of its proper divisors (104993719879).

2101434011321 is a wasteful number, since it uses less digits than its factorization.

2101434011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937264.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2101434011321 its reverse (1231104341012), we get a palindrome (3332538352333).

The spelling of 2101434011321 in words is "two trillion, one hundred one billion, four hundred thirty-four million, eleven thousand, three hundred twenty-one".