11261116603100 has 144 divisors (see below), whose sum is σ = 30499448910336. Its totient is φ = 3513760992000.

The previous prime is 11261116603021. The next prime is 11261116603147. The reversal of 11261116603100 is 130661116211.

It is a super-2 number, since 2×11261116603100² (a number of 27 digits) contains 22 as substring.

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, 8068586 + ... + 9360785.

It is an arithmetic number, because the mean of its divisors is an integer number (211801728544).

Almost surely, 2^{11261116603100} is an apocalyptic number.

11261116603100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261116603100 is an abundant number, since it is smaller than the sum of its proper divisors (19238332307236).

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

11261116603100 is a wasteful number, since it uses less digits than its factorization.

11261116603100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17429476 (or 17429469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

Adding to 11261116603100 its reverse (130661116211), we get a palindrome (11391777719311).

The spelling of 11261116603100 in words is "eleven trillion, two hundred sixty-one billion, one hundred sixteen million, six hundred three thousand, one hundred".