10170531022129 has 27 divisors (see below), whose sum is σ = 10437164881689. Its totient is φ = 9910658630280.

The previous prime is 10170531022117. The next prime is 10170531022139. The reversal of 10170531022129 is 92122013507101.

The square root of 10170531022129 is 3189127.

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

It is not a de Polignac number, because 10170531022129 - 2¹⁵ = 10170530989361 is a prime.

It is a super-2 number, since 2×10170531022129² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10170531022094 and 10170531022103.

It is not an unprimeable number, because it can be changed into a prime (10170531022139) 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, 35938272022 + ... + 35938272304.

Almost surely, 2^{10170531022129} is an apocalyptic number.

10170531022129 is the 3189127-th square number.

10170531022129 is the 1594564-th centered octagonal number.

It is an amenable number.

10170531022129 is a deficient number, since it is larger than the sum of its proper divisors (266633859560).

10170531022129 is an frugal number, since it uses more digits than its factorization.

10170531022129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 10170531022129 in words is "ten trillion, one hundred seventy billion, five hundred thirty-one million, twenty-two thousand, one hundred twenty-nine".