20201010100020 has 120 divisors (see below), whose sum is σ = 63448509008808. Its totient is φ = 5380374240000.

The previous prime is 20201010100001. The next prime is 20201010100021. The reversal of 20201010100020 is 2000101010202.

It can be written as a sum of positive squares in 4 ways, for example, as 4430612429604 + 15770397670416 = 2104902^2 + 3971196^2 .

It is a super-2 number, since 2×20201010100020² (a number of 27 digits) contains 22 as substring.

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 = 20201010099975 and 20201010100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201010100021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6264231 + ... + 8924270.

Almost surely, 2^{20201010100020} is an apocalyptic number.

20201010100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201010100020 is an abundant number, since it is smaller than the sum of its proper divisors (43247498908788).

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

20201010100020 is a wasteful number, since it uses less digits than its factorization.

20201010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189343 (or 15189332 counting only the distinct ones).

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

Adding to 20201010100020 its reverse (2000101010202), we get a palindrome (22201111110222).

The spelling of 20201010100020 in words is "twenty trillion, two hundred one billion, ten million, one hundred thousand, twenty".