1114401206100 has 288 divisors, whose sum is σ = 3971685795840. Its totient is φ = 234932405760.

The previous prime is 1114401206063. The next prime is 1114401206161. The reversal of 1114401206100 is 16021044111.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 34354489 + ... + 34386911.

It is an arithmetic number, because the mean of its divisors is an integer number (13790575680).

Almost surely, 2^{1114401206100} is an apocalyptic number.

1114401206100 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 1114401206100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985842897920).

1114401206100 is an abundant number, since it is smaller than the sum of its proper divisors (2857284589740).

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

1114401206100 is a wasteful number, since it uses less digits than its factorization.

1114401206100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33719 (or 33712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 1114401206100 in words is "one trillion, one hundred fourteen billion, four hundred one million, two hundred six thousand, one hundred".