101000011010000 has 100 divisors (see below), whose sum is σ = 244612197165600. Its totient is φ = 40386610416000.

The previous prime is 101000011009993. The next prime is 101000011010011. The reversal of 101000011010000 is 10110000101.

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 (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28517261 + ... + 31862739.

It is an arithmetic number, because the mean of its divisors is an integer number (2446121971656).

Almost surely, 2^{101000011010000} is an apocalyptic number.

101000011010000 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 101000011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122306098582800).

101000011010000 is an abundant number, since it is smaller than the sum of its proper divisors (143612186155600).

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

101000011010000 is an equidigital number, since it uses as much as digits as its factorization.

101000011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348526 (or 3348505 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000011010000 its reverse (10110000101), we get a palindrome (101010121010101).

The spelling of 101000011010000 in words is "one hundred one trillion, eleven million, ten thousand".