10001211120020 has 12 divisors (see below), whose sum is σ = 21002543352084. Its totient is φ = 4000484448000.

The previous prime is 10001211119983. The next prime is 10001211120023. The reversal of 10001211120020 is 2002111210001.

It can be written as a sum of positive squares in 2 ways, for example, as 1586582083216 + 8414629036804 = 1259596^2 + 2900798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10001211119983 and 10001211120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001211120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250030277981 + ... + 250030278020.

It is an arithmetic number, because the mean of its divisors is an integer number (1750211946007).

Almost surely, 2^{10001211120020} is an apocalyptic number.

10001211120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211120020 is an abundant number, since it is smaller than the sum of its proper divisors (11001332232064).

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

10001211120020 is a wasteful number, since it uses less digits than its factorization.

10001211120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500060556010 (or 500060556008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001211120020 its reverse (2002111210001), we get a palindrome (12003322330021).

The spelling of 10001211120020 in words is "ten trillion, one billion, two hundred eleven million, one hundred twenty thousand, twenty".