10010826392121 has 27 divisors (see below), whose sum is σ = 15360958147951. Its totient is φ = 6281201586624.

The previous prime is 10010826392033. The next prime is 10010826392141. The reversal of 10010826392121 is 12129362801001.

The square root of 10010826392121 is 3163989.

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

10010826392121 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 8 + 2 + 639 + 2 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7793895980025 + 2216930412096 = 2791755^2 + 1488936^2 .

It is not a de Polignac number, because 10010826392121 - 2⁴¹ = 7811803136569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010826392141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161332420 + ... + 161394458.

Almost surely, 2^{10010826392121} is an apocalyptic number.

10010826392121 is the 3163989-th square number.

10010826392121 is the 1581995-th centered octagonal number.

It is an amenable number.

10010826392121 is a deficient number, since it is larger than the sum of its proper divisors (5350131755830).

10010826392121 is an frugal number, since it uses more digits than its factorization.

10010826392121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124118 (or 62059 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 10010826392121 by its sum of digits (36), we get a square (360389750116356 = 18983934²).

The spelling of 10010826392121 in words is "ten trillion, ten billion, eight hundred twenty-six million, three hundred ninety-two thousand, one hundred twenty-one".