101011100010000 has 400 divisors, whose sum is σ = 334960418405184. Its totient is φ = 26202790656000.

The previous prime is 101011100009987. The next prime is 101011100010017. The reversal of 101011100010000 is 10001110101.

101011100010000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 10475065179 + ... + 10475074821.

Almost surely, 2^{101011100010000} is an apocalyptic number.

101011100010000 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 101011100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167480209202592).

101011100010000 is an abundant number, since it is smaller than the sum of its proper divisors (233949318395184).

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

101011100010000 is an equidigital number, since it uses as much as digits as its factorization.

101011100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19148 (or 19127 counting only the distinct ones).

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

Adding to 101011100010000 its reverse (10001110101), we get a palindrome (101021101120101).

The spelling of 101011100010000 in words is "one hundred one trillion, eleven billion, one hundred million, ten thousand".