10011011100020 has 72 divisors (see below), whose sum is σ = 24484008164616. Its totient is φ = 3428341303296.

The previous prime is 10011011100001. The next prime is 10011011100067. The reversal of 10011011100020 is 2000111011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1263542357476 + 8747468742544 = 1124074^2 + 2957612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011011099980 and 10011011100007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5120069 + ... + 6799788.

It is an arithmetic number, because the mean of its divisors is an integer number (340055668953).

Almost surely, 2^{10011011100020} is an apocalyptic number.

10011011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011011100020 is an abundant number, since it is smaller than the sum of its proper divisors (14472997064596).

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

10011011100020 is a wasteful number, since it uses less digits than its factorization.

10011011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920737 (or 11920728 counting only the distinct ones).

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

Adding to 10011011100020 its reverse (2000111011001), we get a palindrome (12011122111021).

The spelling of 10011011100020 in words is "ten trillion, eleven billion, eleven million, one hundred thousand, twenty".