101010110101100 has 72 divisors (see below), whose sum is σ = 220605931983360. Its totient is φ = 40144210908480.

The previous prime is 101010110101093. The next prime is 101010110101171. The reversal of 101010110101100 is 1101011010101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4900829 + ... + 15034571.

Almost surely, 2^{101010110101100} is an apocalyptic number.

101010110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010110101100 is an abundant number, since it is smaller than the sum of its proper divisors (119595821882260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101010110101100 is a wasteful number, since it uses less digits than its factorization.

101010110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134399 (or 10134392 counting only the distinct ones).

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

Adding to 101010110101100 its reverse (1101011010101), we get a palindrome (102111121111201).

Subtracting from 101010110101100 its reverse (1101011010101), we obtain a palindrome (99909099090999).

The spelling of 101010110101100 in words is "one hundred one trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred".