100115262511001 has 8 divisors (see below), whose sum is σ = 100321286461704. Its totient is φ = 99909291680640.

The previous prime is 100115262510947. The next prime is 100115262511031.

It is a happy number.

100115262511001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19534101667600 + 80581160843401 = 4419740^2 + 8976701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100115262511001 - 2¹⁴ = 100115262494617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100115262511031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9505730 + ... + 17046683.

It is an arithmetic number, because the mean of its divisors is an integer number (12540160807713).

Almost surely, 2^{100115262511001} is an apocalyptic number.

It is an amenable number.

100115262511001 is a deficient number, since it is larger than the sum of its proper divisors (206023950703).

100115262511001 is an equidigital number, since it uses as much as digits as its factorization.

100115262511001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26560171.

The product of its (nonzero) digits is 600, while the sum is 26.

The spelling of 100115262511001 in words is "one hundred trillion, one hundred fifteen billion, two hundred sixty-two million, five hundred eleven thousand, one".