10211221200020 has 24 divisors (see below), whose sum is σ = 21497039760168. Its totient is φ = 4074302720000.

The previous prime is 10211221199941. The next prime is 10211221200023. The reversal of 10211221200020 is 2000212211201.

It can be written as a sum of positive squares in 4 ways, for example, as 2602969210384 + 7608251989636 = 1613372^2 + 2758306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10211221199968 and 10211221200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211221200023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636601781 + ... + 636617820.

It is an arithmetic number, because the mean of its divisors is an integer number (895709990007).

Almost surely, 2^{10211221200020} is an apocalyptic number.

10211221200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211221200020 is an abundant number, since it is smaller than the sum of its proper divisors (11285818560148).

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

10211221200020 is a wasteful number, since it uses less digits than its factorization.

10211221200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273220011 (or 1273220009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10211221200020 its reverse (2000212211201), we get a palindrome (12211433411221).

The spelling of 10211221200020 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, two hundred thousand, twenty".