101000111100 has 288 divisors, whose sum is σ = 348183048192. Its totient is φ = 22118400000.

The previous prime is 101000111087. The next prime is 101000111129. The reversal of 101000111100 is 1111000101.

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.

101000111100 is a modest number, since divided by 111100 gives 101000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6567420 + ... + 6582780.

Almost surely, 2^101000111100 is an apocalyptic number.

101000111100 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 101000111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174091524096).

101000111100 is an abundant number, since it is smaller than the sum of its proper divisors (247182937092).

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

101000111100 is a wasteful number, since it uses less digits than its factorization.

101000111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517 (or 15510 counting only the distinct ones).

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

Adding to 101000111100 its reverse (1111000101), we get a palindrome (102111111201).

The spelling of 101000111100 in words is "one hundred one billion, one hundred eleven thousand, one hundred".