11101090272 has 48 divisors (see below), whose sum is σ = 29353100112. Its totient is φ = 3673349120.

The previous prime is 11101090241. The next prime is 11101090303. The reversal of 11101090272 is 27209010111.

It is an interprime number because it is at equal distance from previous prime (11101090241) and next prime (11101090303).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408879 + ... + 435182.

It is an arithmetic number, because the mean of its divisors is an integer number (611522919).

Almost surely, 2^11101090272 is an apocalyptic number.

11101090272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101090272 is an abundant number, since it is smaller than the sum of its proper divisors (18252009840).

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

11101090272 is a wasteful number, since it uses less digits than its factorization.

11101090272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844211 (or 844203 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 11101090272 in words is "eleven billion, one hundred one million, ninety thousand, two hundred seventy-two".