101100100110100 has 288 divisors, whose sum is σ = 272855252423936. Its totient is φ = 31660089753600.

The previous prime is 101100100110073. The next prime is 101100100110143. The reversal of 101100100110100 is 1011001001101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5943210595 + ... + 5943227605.

Almost surely, 2^{101100100110100} is an apocalyptic number.

101100100110100 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 101100100110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136427626211968).

101100100110100 is an abundant number, since it is smaller than the sum of its proper divisors (171755152313836).

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

101100100110100 is a wasteful number, since it uses less digits than its factorization.

101100100110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23875 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101100100110100 its reverse (1011001001101), we get a palindrome (102111101111201).

101100100110100 divided by its reverse (1011001001101) gives a square (100 = 10²).

The spelling of 101100100110100 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred".