11402113114100 has 144 divisors (see below), whose sum is σ = 25927595996400. Its totient is φ = 4347657400320.

The previous prime is 11402113114087. The next prime is 11402113114141. The reversal of 11402113114100 is 141131120411.

It can be written as a sum of positive squares in 24 ways, for example, as 2585323115236 + 8816789998864 = 1607894^2 + 2969308^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138993896 + ... + 139075904.

It is an arithmetic number, because the mean of its divisors is an integer number (180052749975).

Almost surely, 2^{11402113114100} is an apocalyptic number.

11402113114100 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 11402113114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963797998200).

11402113114100 is an abundant number, since it is smaller than the sum of its proper divisors (14525482882300).

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

11402113114100 is a wasteful number, since it uses less digits than its factorization.

11402113114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82822 (or 82815 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 11402113114100 its reverse (141131120411), we get a palindrome (11543244234511).

The spelling of 11402113114100 in words is "eleven trillion, four hundred two billion, one hundred thirteen million, one hundred fourteen thousand, one hundred".