10581010100097 has 32 divisors (see below), whose sum is σ = 14357838163968. Its totient is φ = 6930376989696.

The previous prime is 10581010100077. The next prime is 10581010100123. The reversal of 10581010100097 is 79000101018501.

It is not a de Polignac number, because 10581010100097 - 2²⁸ = 10580741664641 is a prime.

It is a super-2 number, since 2×10581010100097² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10581010100057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21645058 + ... + 22128500.

It is an arithmetic number, because the mean of its divisors is an integer number (448682442624).

Almost surely, 2^{10581010100097} is an apocalyptic number.

It is an amenable number.

10581010100097 is a deficient number, since it is larger than the sum of its proper divisors (3776828063871).

10581010100097 is a wasteful number, since it uses less digits than its factorization.

10581010100097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484109.

The product of its (nonzero) digits is 2520, while the sum is 33.

Adding to 10581010100097 its reverse (79000101018501), we get a palindrome (89581111118598).

The spelling of 10581010100097 in words is "ten trillion, five hundred eighty-one billion, ten million, one hundred thousand, ninety-seven".