10100101101000 has 128 divisors (see below), whose sum is σ = 31824319512960. Its totient is φ = 2666693280000.

The previous prime is 10100101100993. The next prime is 10100101101053. The reversal of 10100101101000 is 10110100101.

10100101101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 self number, because there is not a number n which added to its sum of digits gives 10100101101000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16363834 + ... + 16969833.

It is an arithmetic number, because the mean of its divisors is an integer number (248627496195).

Almost surely, 2^{10100101101000} is an apocalyptic number.

10100101101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101101000 is an abundant number, since it is smaller than the sum of its proper divisors (21724218411960).

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

10100101101000 is a wasteful number, since it uses less digits than its factorization.

10100101101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33333792 (or 33333778 counting only the distinct ones).

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

Adding to 10100101101000 its reverse (10110100101), we get a palindrome (10110211201101).

The spelling of 10100101101000 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand".