101101000101100 has 36 divisors (see below), whose sum is σ = 223107630744600. Its totient is φ = 39754969528960.

The previous prime is 101101000101097. The next prime is 101101000101103. The reversal of 101101000101100 is 1101000101101.

It is a happy number.

101101000101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101101000101097) and next prime (101101000101103).

It is not an unprimeable number, because it can be changed into a prime (101101000101103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8567875465 + ... + 8567887264.

It is an arithmetic number, because the mean of its divisors is an integer number (6197434187350).

Almost surely, 2^{101101000101100} is an apocalyptic number.

101101000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101000101100 is an abundant number, since it is smaller than the sum of its proper divisors (122006630643500).

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

101101000101100 is a wasteful number, since it uses less digits than its factorization.

101101000101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17135762802 (or 17135762795 counting only the distinct ones).

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

Adding to 101101000101100 its reverse (1101000101101), we get a palindrome (102202000202201).

Subtracting from 101101000101100 its reverse (1101000101101), we obtain a palindrome (99999999999999).

The spelling of 101101000101100 in words is "one hundred one trillion, one hundred one billion, one hundred one thousand, one hundred".