10312197210121 has 9 divisors (see below), whose sum is σ = 10350452575701. Its totient is φ = 10274082753312.

The previous prime is 10312197210109. The next prime is 10312197210149. The reversal of 10312197210121 is 12101279121301.

The square root of 10312197210121 is 3211261.

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

It can be written as a sum of positive squares in 4 ways, for example, as 426329337721 + 9885867872400 = 652939^2 + 3144180^2 .

It is not a de Polignac number, because 10312197210121 - 2⁵ = 10312197210089 is a prime.

It is a super-2 number, since 2×10312197210121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10312197210151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 889513501 + ... + 889525093.

It is an arithmetic number, because the mean of its divisors is an integer number (1150050286189).

Almost surely, 2^{10312197210121} is an apocalyptic number.

10312197210121 is the 3211261-st square number.

10312197210121 is the 1605631-st centered octagonal number.

It is an amenable number.

10312197210121 is a deficient number, since it is larger than the sum of its proper divisors (38255365580).

10312197210121 is an frugal number, since it uses more digits than its factorization.

10312197210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 10312197210121 in words is "ten trillion, three hundred twelve billion, one hundred ninety-seven million, two hundred ten thousand, one hundred twenty-one".