101001011010000 has 200 divisors, whose sum is σ = 329272905866784. Its totient is φ = 26666932800000.

The previous prime is 101001011009999. The next prime is 101001011010047. The reversal of 101001011010000 is 10110100101.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 13636834 + ... + 19696833.

Almost surely, 2^{101001011010000} is an apocalyptic number.

101001011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001011010000 is an abundant number, since it is smaller than the sum of its proper divisors (228271894856784).

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

101001011010000 is a wasteful number, since it uses less digits than its factorization.

101001011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333799 (or 33333778 counting only the distinct ones).

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

Adding to 101001011010000 its reverse (10110100101), we get a palindrome (101011121110101).

The spelling of 101001011010000 in words is "one hundred one trillion, one billion, eleven million, ten thousand".