101100010111100 has 864 divisors, whose sum is σ = 313939281600000. Its totient is φ = 27347278233600.

The previous prime is 101100010111039. The next prime is 101100010111141. The reversal of 101100010111100 is 1111010001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27630501071 + ... + 27630504729.

It is an arithmetic number, because the mean of its divisors is an integer number (363355650000).

Almost surely, 2^{101100010111100} is an apocalyptic number.

101100010111100 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 101100010111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156969640800000).

101100010111100 is an abundant number, since it is smaller than the sum of its proper divisors (212839271488900).

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

101100010111100 is a wasteful number, since it uses less digits than its factorization.

101100010111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101100010111100 its reverse (1111010001101), we get a palindrome (102211020112201).

The spelling of 101100010111100 in words is "one hundred one trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred".