10001022010020 has 36 divisors (see below), whose sum is σ = 30336433430940. Its totient is φ = 2666939202624.

The previous prime is 10001022010013. The next prime is 10001022010033. The reversal of 10001022010020 is 2001022010001.

It can be written as a sum of positive squares in 2 ways, for example, as 5942400791616 + 4058621218404 = 2437704^2 + 2014602^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001022009984 and 10001022010011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27780616515 + ... + 27780616874.

It is an arithmetic number, because the mean of its divisors is an integer number (842678706415).

Almost surely, 2^{10001022010020} is an apocalyptic number.

10001022010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001022010020 is an abundant number, since it is smaller than the sum of its proper divisors (20335411420920).

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

10001022010020 is a wasteful number, since it uses less digits than its factorization.

10001022010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55561233404 (or 55561233399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001022010020 its reverse (2001022010001), we get a palindrome (12002044020021).

The spelling of 10001022010020 in words is "ten trillion, one billion, twenty-two million, ten thousand, twenty".