101000201110000 has 200 divisors, whose sum is σ = 245640322122800. Its totient is φ = 40217188608000.

The previous prime is 101000201109967. The next prime is 101000201110007. The reversal of 101000201110000 is 11102000101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000201110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2923372726 + ... + 2923407274.

It is an arithmetic number, because the mean of its divisors is an integer number (1228201610614).

Almost surely, 2^{101000201110000} is an apocalyptic number.

101000201110000 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 101000201110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122820161061400).

101000201110000 is an abundant number, since it is smaller than the sum of its proper divisors (144640121012800).

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

101000201110000 is a wasteful number, since it uses less digits than its factorization.

101000201110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35893 (or 35872 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000201110000 its reverse (11102000101), we get a palindrome (101011303110101).

The spelling of 101000201110000 in words is "one hundred one trillion, two hundred one million, one hundred ten thousand".