101100101010000 has 100 divisors (see below), whose sum is σ = 326364606170592. Its totient is φ = 26960026928000.

The previous prime is 101100101009933. The next prime is 101100101010017. The reversal of 101100101010000 is 10101001101.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1684971684 + ... + 1685031683.

Almost surely, 2^{101100101010000} is an apocalyptic number.

101100101010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100101010000 is an abundant number, since it is smaller than the sum of its proper divisors (225264505160592).

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

101100101010000 is an equidigital number, since it uses as much as digits as its factorization.

101100101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370003398 (or 3370003377 counting only the distinct ones).

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

Adding to 101100101010000 its reverse (10101001101), we get a palindrome (101110202011101).

The spelling of 101100101010000 in words is "one hundred one trillion, one hundred billion, one hundred one million, ten thousand".