2151600167121 has 64 divisors (see below), whose sum is σ = 3218593996800. Its totient is φ = 1270517529600.

The previous prime is 2151600167113. The next prime is 2151600167149. The reversal of 2151600167121 is 1217610061512.

It is not a de Polignac number, because 2151600167121 - 2³ = 2151600167113 is a prime.

It is a super-4 number, since 4×2151600167121⁴ (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2151600167161) 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 63 ways as a sum of consecutive naturals, for example, 173804310 + ... + 173816688.

It is an arithmetic number, because the mean of its divisors is an integer number (50290531200).

Almost surely, 2^{2151600167121} is an apocalyptic number.

It is an amenable number.

2151600167121 is a deficient number, since it is larger than the sum of its proper divisors (1066993829679).

2151600167121 is a wasteful number, since it uses less digits than its factorization.

2151600167121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590.

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 2151600167121 in words is "two trillion, one hundred fifty-one billion, six hundred million, one hundred sixty-seven thousand, one hundred twenty-one".