11100103203552 has 288 divisors, whose sum is σ = 32451531840000. Its totient is φ = 3319180001280.

The previous prime is 11100103203529. The next prime is 11100103203559. The reversal of 11100103203552 is 25530230100111.

It is a super-2 number, since 2×11100103203552² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100103203559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3172362699 + ... + 3172366197.

It is an arithmetic number, because the mean of its divisors is an integer number (112678930000).

Almost surely, 2^{11100103203552} is an apocalyptic number.

11100103203552 is a gapful number since it is divisible by the number (12) 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 11100103203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225765920000).

11100103203552 is an abundant number, since it is smaller than the sum of its proper divisors (21351428636448).

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

11100103203552 is a wasteful number, since it uses less digits than its factorization.

11100103203552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11100103203552 its reverse (25530230100111), we get a palindrome (36630333303663).

The spelling of 11100103203552 in words is "eleven trillion, one hundred billion, one hundred three million, two hundred three thousand, five hundred fifty-two".