11057101000 has 96 divisors (see below), whose sum is σ = 28439906040. Its totient is φ = 4020720000.

The previous prime is 11057100997. The next prime is 11057101021. The reversal of 11057101000 is 10175011.

It can be written as a sum of positive squares in 4 ways, for example, as 5083975204 + 5973125796 = 71302^2 + 77286^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75310 + ... + 166690.

Almost surely, 2^11057101000 is an apocalyptic number.

11057101000 is a gapful number since it is divisible by the number (10) 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 11057101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219953020).

11057101000 is an abundant number, since it is smaller than the sum of its proper divisors (17382805040).

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

11057101000 is a wasteful number, since it uses less digits than its factorization.

11057101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91424 (or 91399 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 11057101000 its reverse (10175011), we get a palindrome (11067276011).

The spelling of 11057101000 in words is "eleven billion, fifty-seven million, one hundred one thousand".