101001110010000 has 600 divisors, whose sum is σ = 336022487184384. Its totient is φ = 26133200640000.

The previous prime is 101001110009977. The next prime is 101001110010011. The reversal of 101001110010000 is 10011100101.

It is a tau number, because it is divible by the number of its divisors (600).

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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15729806790 + ... + 15729813210.

Almost surely, 2^{101001110010000} is an apocalyptic number.

101001110010000 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 101001110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168011243592192).

101001110010000 is an abundant number, since it is smaller than the sum of its proper divisors (235021377174384).

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

101001110010000 is an equidigital number, since it uses as much as digits as its factorization.

101001110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6851 counting only the distinct ones).

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

Adding to 101001110010000 its reverse (10011100101), we get a palindrome (101011121110101).

The spelling of 101001110010000 in words is "one hundred one trillion, one billion, one hundred ten million, ten thousand".