10100011100 has 72 divisors (see below), whose sum is σ = 23289946848. Its totient is φ = 3788646400.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011100 is 111000101.

It is a Harshad number since it is a multiple of its sum of digits (5).

10100011100 is a modest number, since divided by 11100 gives 10100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467129 + ... + 488271.

It is an arithmetic number, because the mean of its divisors is an integer number (323471484).

Almost surely, 2^10100011100 is an apocalyptic number.

10100011100 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 10100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11644973424).

10100011100 is an abundant number, since it is smaller than the sum of its proper divisors (13189935748).

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

10100011100 is a wasteful number, since it uses less digits than its factorization.

10100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21455 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100011100 its reverse (111000101), we get a palindrome (10211011201).

It can be divided in two parts, 1010001 and 1100, that added together give a palindrome (1011101).

The spelling of 10100011100 in words is "ten billion, one hundred million, eleven thousand, one hundred".