116101281400 has 384 divisors, whose sum is σ = 313424939520. Its totient is φ = 39661332480.

The previous prime is 116101281389. The next prime is 116101281467. The reversal of 116101281400 is 4182101611.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419138062 + ... + 419138338.

It is an arithmetic number, because the mean of its divisors is an integer number (816210780).

Almost surely, 2^116101281400 is an apocalyptic number.

116101281400 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 116101281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156712469760).

116101281400 is an abundant number, since it is smaller than the sum of its proper divisors (197323658120).

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

116101281400 is a wasteful number, since it uses less digits than its factorization.

116101281400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The spelling of 116101281400 in words is "one hundred sixteen billion, one hundred one million, two hundred eighty-one thousand, four hundred".