101101000011100 has 36 divisors (see below), whose sum is σ = 219389618712600. Its totient is φ = 40440317296960.

The previous prime is 101101000011061. The next prime is 101101000011103. The reversal of 101101000011100 is 1110000101101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000011103) 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, 78700746 + ... + 79975054.

It is an arithmetic number, because the mean of its divisors is an integer number (6094156075350).

Almost surely, 2^{101101000011100} is an apocalyptic number.

101101000011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101000011100 is an abundant number, since it is smaller than the sum of its proper divisors (118288618701500).

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

101101000011100 is a wasteful number, since it uses less digits than its factorization.

101101000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067702 (or 2067695 counting only the distinct ones).

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

Adding to 101101000011100 its reverse (1110000101101), we get a palindrome (102211000112201).

Subtracting from 101101000011100 its reverse (1110000101101), we obtain a palindrome (99990999909999).

It can be divided in two parts, 10110100001 and 1100, that added together give a palindrome (10110101101).

The spelling of 101101000011100 in words is "one hundred one trillion, one hundred one billion, eleven thousand, one hundred".