101100010000000 has 512 divisors, whose sum is σ = 275241514129920. Its totient is φ = 36684480000000.

The previous prime is 101100009999997. The next prime is 101100010000061. The reversal of 101100010000000 is 10001101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81729999382 + ... + 81730000618.

It is an arithmetic number, because the mean of its divisors is an integer number (537581082285).

Almost surely, 2^{101100010000000} is an apocalyptic number.

101100010000000 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 101100010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137620757064960).

101100010000000 is an abundant number, since it is smaller than the sum of its proper divisors (174141504129920).

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

101100010000000 is an frugal number, since it uses more digits than its factorization.

101100010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 101100010000000 its reverse (10001101), we get a palindrome (101100020001101).

The spelling of 101100010000000 in words is "one hundred one trillion, one hundred billion, ten million", and thus it is an aban number.