11100400114020 has 192 divisors, whose sum is σ = 35768935673856. Its totient is φ = 2519605624320.

The previous prime is 11100400114003. The next prime is 11100400114039. The reversal of 11100400114020 is 2041100400111.

It is a super-3 number, since 3×11100400114020³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34857315 + ... + 35174325.

It is an arithmetic number, because the mean of its divisors is an integer number (186296539968).

Almost surely, 2^{11100400114020} is an apocalyptic number.

11100400114020 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 11100400114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884467836928).

11100400114020 is an abundant number, since it is smaller than the sum of its proper divisors (24668535559836).

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

11100400114020 is a wasteful number, since it uses less digits than its factorization.

11100400114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317610 (or 317608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11100400114020 its reverse (2041100400111), we get a palindrome (13141500514131).

The spelling of 11100400114020 in words is "eleven trillion, one hundred billion, four hundred million, one hundred fourteen thousand, twenty".