101000001101100 has 72 divisors (see below), whose sum is σ = 304932177258240. Its totient is φ = 25762319119680.

The previous prime is 101000001101099. The next prime is 101000001101107. The reversal of 101000001101100 is 1101100000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101000001101107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7318833760 + ... + 7318847559.

Almost surely, 2^{101000001101100} is an apocalyptic number.

101000001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001101100 is an abundant number, since it is smaller than the sum of its proper divisors (203932176157140).

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

101000001101100 is a wasteful number, since it uses less digits than its factorization.

101000001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14637681359 (or 14637681352 counting only the distinct ones).

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

Adding to 101000001101100 its reverse (1101100000101), we get a palindrome (102101101101201).

It can be divided in two parts, 101000001 and 101100, that added together give a palindrome (101101101).

The spelling of 101000001101100 in words is "one hundred one trillion, one million, one hundred one thousand, one hundred".