100000101100111 has 4 divisors (see below), whose sum is σ = 100000405475872. Its totient is φ = 99999796724352.

The previous prime is 100000101100057. The next prime is 100000101100129. The reversal of 100000101100111 is 111001101000001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100000101100111 - 2¹¹ = 100000101098063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100000101100094 and 100000101100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000101100171) 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, 151694535 + ... + 152352328.

It is an arithmetic number, because the mean of its divisors is an integer number (25000101368968).

Almost surely, 2^{100000101100111} is an apocalyptic number.

100000101100111 is a deficient number, since it is larger than the sum of its proper divisors (304375761).

100000101100111 is an equidigital number, since it uses as much as digits as its factorization.

100000101100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304375760.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100000101100111 its reverse (111001101000001), we get a palindrome (211001202100112).

The spelling of 100000101100111 in words is "one hundred trillion, one hundred one million, one hundred thousand, one hundred eleven".