101111010010000 has 200 divisors, whose sum is σ = 255467785890240. Its totient is φ = 38682249408000.

The previous prime is 101111010009913. The next prime is 101111010010057. The reversal of 101111010010000 is 10010111101.

It is a happy number.

101111010010000 is digitally balanced in base 6, 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 (200).

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, 4446578631 + ... + 4446601369.

Almost surely, 2^{101111010010000} is an apocalyptic number.

101111010010000 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 101111010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733892945120).

101111010010000 is an abundant number, since it is smaller than the sum of its proper divisors (154356775880240).

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

101111010010000 is a wasteful number, since it uses less digits than its factorization.

101111010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42123 (or 42102 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101111010010000 its reverse (10010111101), we get a palindrome (101121020121101).

The spelling of 101111010010000 in words is "one hundred one trillion, one hundred eleven billion, ten million, ten thousand".