2152202121311 has 72 divisors (see below), whose sum is σ = 2605932680400. Its totient is φ = 1769852198400.

The previous prime is 2152202121301. The next prime is 2152202121409. The reversal of 2152202121311 is 1131212022512.

It is a de Polignac number, because none of the positive numbers 2^k-2152202121311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152202121301) 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 71 ways as a sum of consecutive naturals, for example, 294536120 + ... + 294543426.

It is an arithmetic number, because the mean of its divisors is an integer number (36193509450).

Almost surely, 2^{2152202121311} is an apocalyptic number.

2152202121311 is a deficient number, since it is larger than the sum of its proper divisors (453730559089).

2152202121311 is a wasteful number, since it uses less digits than its factorization.

2152202121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 2152202121311 its reverse (1131212022512), we get a palindrome (3283414143823).

The spelling of 2152202121311 in words is "two trillion, one hundred fifty-two billion, two hundred two million, one hundred twenty-one thousand, three hundred eleven".