11402034013100 has 72 divisors (see below), whose sum is σ = 25339826147328. Its totient is φ = 4450875912000.

The previous prime is 11402034013033. The next prime is 11402034013127. The reversal of 11402034013100 is 131043020411.

It is a super-2 number, since 2×11402034013100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3797417 + ... + 6101183.

It is an arithmetic number, because the mean of its divisors is an integer number (351942029824).

Almost surely, 2^{11402034013100} is an apocalyptic number.

11402034013100 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 11402034013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669913073664).

11402034013100 is an abundant number, since it is smaller than the sum of its proper divisors (13937792134228).

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

11402034013100 is a wasteful number, since it uses less digits than its factorization.

11402034013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304975 (or 2304968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11402034013100 its reverse (131043020411), we get a palindrome (11533077033511).

The spelling of 11402034013100 in words is "eleven trillion, four hundred two billion, thirty-four million, thirteen thousand, one hundred".