11001021022100 has 18 divisors (see below), whose sum is σ = 23872215618174. Its totient is φ = 4400408408800.

The previous prime is 11001021022051. The next prime is 11001021022163. The reversal of 11001021022100 is 122012010011.

It can be written as a sum of positive squares in 3 ways, for example, as 221001531664 + 10780019490436 = 470108^2 + 3283294^2 .

It is a super-2 number, since 2×11001021022100² (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 5 ways as a sum of consecutive naturals, for example, 55005105011 + ... + 55005105210.

Almost surely, 2^{11001021022100} is an apocalyptic number.

11001021022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001021022100 is an abundant number, since it is smaller than the sum of its proper divisors (12871194596074).

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

11001021022100 is a wasteful number, since it uses less digits than its factorization.

11001021022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110010210235 (or 110010210228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11001021022100 its reverse (122012010011), we get a palindrome (11123033032111).

The spelling of 11001021022100 in words is "eleven trillion, one billion, twenty-one million, twenty-two thousand, one hundred".