100111100100601 has 4 divisors (see below), whose sum is σ = 100111138437492. Its totient is φ = 100111061763712.

The previous prime is 100111100100593. The next prime is 100111100100647. The reversal of 100111100100601 is 106001001111001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57780917093376 + 42330183007225 = 7601376^2 + 6506165^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100100601 - 2³ = 100111100100593 is a prime.

It is a super-2 number, since 2×100111100100601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111100101601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14940580 + ... + 20577733.

It is an arithmetic number, because the mean of its divisors is an integer number (25027784609373).

Almost surely, 2^{100111100100601} is an apocalyptic number.

It is an amenable number.

100111100100601 is a deficient number, since it is larger than the sum of its proper divisors (38336891).

100111100100601 is an equidigital number, since it uses as much as digits as its factorization.

100111100100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38336890.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100111100100601 its reverse (106001001111001), we get a palindrome (206112101211602).

The spelling of 100111100100601 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred thousand, six hundred one".