101001101100 has 36 divisors (see below), whose sum is σ = 292229853384. Its totient is φ = 26933626880.

The previous prime is 101001101099. The next prime is 101001101101. The reversal of 101001101100 is 1101100101.

101001101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101001101099) and next prime (101001101101).

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 (101001101101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168334869 + ... + 168335468.

Almost surely, 2^101001101100 is an apocalyptic number.

101001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001101100 is an abundant number, since it is smaller than the sum of its proper divisors (191228752284).

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

101001101100 is a wasteful number, since it uses less digits than its factorization.

101001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336670354 (or 336670347 counting only the distinct ones).

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

Adding to 101001101100 its reverse (1101100101), we get a palindrome (102102201201).

Subtracting from 101001101100 its reverse (1101100101), we obtain a palindrome (99900000999).

The spelling of 101001101100 in words is "one hundred one billion, one million, one hundred one thousand, one hundred".