116401770100 has 216 divisors, whose sum is σ = 317999271744. Its totient is φ = 36201792000.

The previous prime is 116401770061. The next prime is 116401770101. The reversal of 116401770100 is 1077104611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116401770101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47684880 + ... + 47687320.

Almost surely, 2^116401770100 is an apocalyptic number.

116401770100 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 116401770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158999635872).

116401770100 is an abundant number, since it is smaller than the sum of its proper divisors (201597501644).

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

116401770100 is a wasteful number, since it uses less digits than its factorization.

116401770100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

Adding to 116401770100 its reverse (1077104611), we get a palindrome (117478874711).

The spelling of 116401770100 in words is "one hundred sixteen billion, four hundred one million, seven hundred seventy thousand, one hundred".