10011101100020 has 12 divisors (see below), whose sum is σ = 21023312310084. Its totient is φ = 4004440440000.

The previous prime is 10011101099981. The next prime is 10011101100023. The reversal of 10011101100020 is 2000110111001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5811831279076 + 4199269820944 = 2410774^2 + 2049212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011101099980 and 10011101100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101100023) 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, 250277527481 + ... + 250277527520.

It is an arithmetic number, because the mean of its divisors is an integer number (1751942692507).

Almost surely, 2^{10011101100020} is an apocalyptic number.

10011101100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011101100020 is an abundant number, since it is smaller than the sum of its proper divisors (11012211210064).

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

10011101100020 is a wasteful number, since it uses less digits than its factorization.

10011101100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500555055010 (or 500555055008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011101100020 its reverse (2000110111001), we get a palindrome (12011211211021).

The spelling of 10011101100020 in words is "ten trillion, eleven billion, one hundred one million, one hundred thousand, twenty".