100001111110101 has 6 divisors (see below), whose sum is σ = 144446049381270. Its totient is φ = 66667407406728.

The previous prime is 100001111110097. The next prime is 100001111110111. The reversal of 100001111110101 is 101011111100001.

It can be written as a sum of positive squares in only one way, i.e., 95995513152900 + 4005597957201 = 9797730^2 + 2001399^2 .

It is not a de Polignac number, because 100001111110101 - 2² = 100001111110097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11111234567789 = 100001111110101 / (1 + 0 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111110111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555617283886 + ... + 5555617283903.

It is an arithmetic number, because the mean of its divisors is an integer number (24074341563545).

Almost surely, 2^{100001111110101} is an apocalyptic number.

It is an amenable number.

100001111110101 is a deficient number, since it is larger than the sum of its proper divisors (44444938271169).

100001111110101 is a wasteful number, since it uses less digits than its factorization.

100001111110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111234567795 (or 11111234567792 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100001111110101 its reverse (101011111100001), we get a palindrome (201012222210102).

The spelling of 100001111110101 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred ten thousand, one hundred one".