101110116245400 has 768 divisors, whose sum is σ = 362506173120000. Its totient is φ = 25872409221120.

The previous prime is 101110116245363. The next prime is 101110116245401. The reversal of 101110116245400 is 4542611011101.

It is a happy number.

101110116245400 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 0 + 1 + 16 + 245 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110116245401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18175463019 + ... + 18175468581.

It is an arithmetic number, because the mean of its divisors is an integer number (472013246250).

Almost surely, 2^{101110116245400} is an apocalyptic number.

101110116245400 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 101110116245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181253086560000).

101110116245400 is an abundant number, since it is smaller than the sum of its proper divisors (261396056874600).

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

101110116245400 is a wasteful number, since it uses less digits than its factorization.

101110116245400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 101110116245400 its reverse (4542611011101), we get a palindrome (105652727256501).

The spelling of 101110116245400 in words is "one hundred one trillion, one hundred ten billion, one hundred sixteen million, two hundred forty-five thousand, four hundred".