100111010100101 has 48 divisors (see below), whose sum is σ = 138449748866688. Its totient is φ = 70251628262400.

The previous prime is 100111010100091. The next prime is 100111010100131. The reversal of 100111010100101 is 101001010111001.

It is a de Polignac number, because none of the positive numbers 2^k-100111010100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111010100131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93285416 + ... + 94352481.

It is an arithmetic number, because the mean of its divisors is an integer number (2884369768056).

Almost surely, 2^{100111010100101} is an apocalyptic number.

100111010100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111010100101 is a deficient number, since it is larger than the sum of its proper divisors (38338738766587).

100111010100101 is a wasteful number, since it uses less digits than its factorization.

100111010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187637982 (or 187637969 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111010100101 its reverse (101001010111001), we get a palindrome (201112020211102).

The spelling of 100111010100101 in words is "one hundred trillion, one hundred eleven billion, ten million, one hundred thousand, one hundred one".