101000112110020 has 24 divisors (see below), whose sum is σ = 212102940057624. Its totient is φ = 40399529677056.

The previous prime is 101000112110003. The next prime is 101000112110041. The reversal of 101000112110020 is 20011211000101.

It can be written as a sum of positive squares in 4 ways, for example, as 30677397083524 + 70322715026496 = 5538718^2 + 8385864^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101000112109979 and 101000112110006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30588337 + ... + 33729016.

It is an arithmetic number, because the mean of its divisors is an integer number (8837622502401).

Almost surely, 2^{101000112110020} is an apocalyptic number.

101000112110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000112110020 is an abundant number, since it is smaller than the sum of its proper divisors (111102827947604).

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

101000112110020 is a wasteful number, since it uses less digits than its factorization.

101000112110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64395879 (or 64395877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000112110020 its reverse (20011211000101), we get a palindrome (121011323110121).

The spelling of 101000112110020 in words is "one hundred one trillion, one hundred twelve million, one hundred ten thousand, twenty".