101000010100011 has 128 divisors (see below), whose sum is σ = 157790024663040. Its totient is φ = 56841643584000.

The previous prime is 101000010099949. The next prime is 101000010100027. The reversal of 101000010100011 is 110001010000101.

It is not a de Polignac number, because 101000010100011 - 2²² = 101000005905707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101000010100081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42960445486 + ... + 42960447836.

It is an arithmetic number, because the mean of its divisors is an integer number (1232734567680).

Almost surely, 2^{101000010100011} is an apocalyptic number.

101000010100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000010100011 is a deficient number, since it is larger than the sum of its proper divisors (56790014563029).

101000010100011 is a wasteful number, since it uses less digits than its factorization.

101000010100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000010100011 its reverse (110001010000101), we get a palindrome (211001020100112).

The spelling of 101000010100011 in words is "one hundred one trillion, ten million, one hundred thousand, eleven".