100110010101101 has 48 divisors (see below), whose sum is σ = 135545837277312. Its totient is φ = 71946527495040.

The previous prime is 100110010101061. The next prime is 100110010101133. The reversal of 100110010101101 is 101101010011001.

It is not a de Polignac number, because 100110010101101 - 2³⁴ = 100092830231917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110010101161) 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, 9240311 + ... + 16899803.

It is an arithmetic number, because the mean of its divisors is an integer number (2823871609944).

Almost surely, 2^{100110010101101} is an apocalyptic number.

100110010101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110010101101 is a deficient number, since it is larger than the sum of its proper divisors (35435827176211).

100110010101101 is a wasteful number, since it uses less digits than its factorization.

100110010101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660722 (or 7660711 counting only the distinct ones).

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

Adding to 100110010101101 its reverse (101101010011001), we get a palindrome (201211020112102).

The spelling of 100110010101101 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred one thousand, one hundred one".