11001120120100 has 54 divisors (see below), whose sum is σ = 26239944474002. Its totient is φ = 4000407312000.

The previous prime is 11001120120091. The next prime is 11001120120103. The reversal of 11001120120100 is 102102110011.

It can be written as a sum of positive squares in 3 ways, for example, as 1110308978944 + 9890811141156 = 1053712^2 + 3144966^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11001120120103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 454579641 + ... + 454603840.

Almost surely, 2^{11001120120100} is an apocalyptic number.

11001120120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001120120100 is an abundant number, since it is smaller than the sum of its proper divisors (15238824353902).

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

11001120120100 is a wasteful number, since it uses less digits than its factorization.

11001120120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909183517 (or 909183499 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001120120100 its reverse (102102110011), we get a palindrome (11103222230111).

The spelling of 11001120120100 in words is "eleven trillion, one billion, one hundred twenty million, one hundred twenty thousand, one hundred".