10097503125101 has 24 divisors (see below), whose sum is σ = 11865333506040. Its totient is φ = 8567486011392.

The previous prime is 10097503125067. The next prime is 10097503125103. The reversal of 10097503125101 is 10152130579001.

It can be written as a sum of positive squares in 4 ways, for example, as 506552475625 + 9590950649476 = 711725^2 + 3096926^2 .

It is not a de Polignac number, because 10097503125101 - 2¹⁰ = 10097503124077 is a prime.

It is a super-2 number, since 2×10097503125101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097503125103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239135 + ... + 4500243.

It is an arithmetic number, because the mean of its divisors is an integer number (494388896085).

Almost surely, 2^{10097503125101} is an apocalyptic number.

It is an amenable number.

10097503125101 is a deficient number, since it is larger than the sum of its proper divisors (1767830380939).

10097503125101 is a wasteful number, since it uses less digits than its factorization.

10097503125101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261613 (or 4261606 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 35.

The spelling of 10097503125101 in words is "ten trillion, ninety-seven billion, five hundred three million, one hundred twenty-five thousand, one hundred one".