11001011000020 has 12 divisors (see below), whose sum is σ = 23102123100084. Its totient is φ = 4400404400000.

The previous prime is 11001011000009. The next prime is 11001011000027. The reversal of 11001011000020 is 2000011010011.

It can be written as a sum of positive squares in 2 ways, for example, as 1164081313476 + 9836929686544 = 1078926^2 + 3136388^2 .

It is a super-2 number, since 2×11001011000020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11001010999967 and 11001011000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001011000027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275025274981 + ... + 275025275020.

It is an arithmetic number, because the mean of its divisors is an integer number (1925176925007).

Almost surely, 2^{11001011000020} is an apocalyptic number.

11001011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001011000020 is an abundant number, since it is smaller than the sum of its proper divisors (12101112100064).

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

11001011000020 is a wasteful number, since it uses less digits than its factorization.

11001011000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550050550010 (or 550050550008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11001011000020 its reverse (2000011010011), we get a palindrome (13001022010031).

Subtracting from 11001011000020 its reverse (2000011010011), we obtain a palindrome (9000999990009).

The spelling of 11001011000020 in words is "eleven trillion, one billion, eleven million, twenty", and thus it is an aban number and an uban number.