11009090910100 has 36 divisors (see below), whose sum is σ = 24126259250268. Its totient is φ = 4360036000000.

The previous prime is 11009090909959. The next prime is 11009090910113. The reversal of 11009090910100 is 101909090011.

It can be written as a sum of positive squares in 6 ways, for example, as 2707327996816 + 8301762913284 = 1645396^2 + 2881278^2 .

It is a super-3 number, since 3×11009090910100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 544994401 + ... + 545014600.

It is an arithmetic number, because the mean of its divisors is an integer number (670173868063).

Almost surely, 2^{11009090910100} is an apocalyptic number.

11009090910100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11009090910100 is an abundant number, since it is smaller than the sum of its proper divisors (13117168340168).

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

11009090910100 is a wasteful number, since it uses less digits than its factorization.

11009090910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090009116 (or 1090009109 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 11009090910100 in words is "eleven trillion, nine billion, ninety million, nine hundred ten thousand, one hundred".