101001100 has 54 divisors (see below), whose sum is σ = 226686012. Its totient is φ = 39060000.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001100 is 1100101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101001100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95575 + ... + 96625.

Almost surely, 2^101001100 is an apocalyptic number.

101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113343006).

101001100 is an abundant number, since it is smaller than the sum of its proper divisors (125684912).

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

101001100 is a wasteful number, since it uses less digits than its factorization.

101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 101001100 is about 10049.9303480173. The cubic root of 101001100 is about 465.7026414378.

Adding to 101001100 its reverse (1100101), we get a palindrome (102101201).

Subtracting from 101001100 its reverse (1100101), we obtain a palindrome (99900999).

It can be divided in two parts, 101001 and 100, that added together give a palindrome (101101).

The spelling of 101001100 in words is "one hundred one million, one thousand, one hundred".