101101100111100 has 288 divisors, whose sum is σ = 329536974950400. Its totient is φ = 26586555091200.

The previous prime is 101101100111041. The next prime is 101101100111171. The reversal of 101101100111100 is 1111001101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 174830637 + ... + 175407963.

Almost surely, 2^{101101100111100} is an apocalyptic number.

101101100111100 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 101101100111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164768487475200).

101101100111100 is an abundant number, since it is smaller than the sum of its proper divisors (228435874839300).

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

101101100111100 is a wasteful number, since it uses less digits than its factorization.

101101100111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578250 (or 578237 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101100111100 its reverse (1111001101101), we get a palindrome (102212101212201).

Subtracting from 101101100111100 its reverse (1111001101101), we obtain a palindrome (99990099009999).

The spelling of 101101100111100 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred".