10101100110000 has 100 divisors (see below), whose sum is σ = 32607698065272. Its totient is φ = 2693626688000.

The previous prime is 10101100109993. The next prime is 10101100110007. The reversal of 10101100110000 is 1100110101.

It is an interprime number because it is at equal distance from previous prime (10101100109993) and next prime (10101100110007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10101100110007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 168321669 + ... + 168381668.

Almost surely, 2^{10101100110000} is an apocalyptic number.

10101100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100110000 is an abundant number, since it is smaller than the sum of its proper divisors (22506597955272).

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

10101100110000 is an equidigital number, since it uses as much as digits as its factorization.

10101100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336703368 (or 336703347 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101100110000 its reverse (1100110101), we get a palindrome (10102200220101).

The spelling of 10101100110000 in words is "ten trillion, one hundred one billion, one hundred million, one hundred ten thousand".