10037877764121 has 63 divisors (see below), whose sum is σ = 15140638332207. Its totient is φ = 6651827334720.

The previous prime is 10037877764107. The next prime is 10037877764177. The reversal of 10037877764121 is 12146777873001.

The square root of 10037877764121 is 3168261.

It is a perfect power (a square), and thus also a powerful number.

10037877764121 is a `hidden beast` number, since 10 + 0 + 378 + 77 + 76 + 4 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1125646731225 + 8912231032896 = 1060965^2 + 2985336^2 .

It is not a de Polignac number, because 10037877764121 - 2³⁷ = 9900438810649 is a prime.

It is a super-2 number, since 2×10037877764121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10037877764221) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23182165521 + ... + 23182165953.

Almost surely, 2^{10037877764121} is an apocalyptic number.

10037877764121 is the 3168261-st square number.

10037877764121 is the 1584131-st centered octagonal number.

It is an amenable number.

10037877764121 is a deficient number, since it is larger than the sum of its proper divisors (5102760568086).

10037877764121 is an frugal number, since it uses more digits than its factorization.

10037877764121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 10037877764121 in words is "ten trillion, thirty-seven billion, eight hundred seventy-seven million, seven hundred sixty-four thousand, one hundred twenty-one".