10201222110020 has 12 divisors (see below), whose sum is σ = 21422566431084. Its totient is φ = 4080488844000.

The previous prime is 10201222110011. The next prime is 10201222110029. The reversal of 10201222110020 is 2001122210201.

It is an interprime number because it is at equal distance from previous prime (10201222110011) and next prime (10201222110029).

It can be written as a sum of positive squares in 2 ways, for example, as 4753376690176 + 5447845419844 = 2180224^2 + 2334062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201222109977 and 10201222110004.

It is not an unprimeable number, because it can be changed into a prime (10201222110029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255030552731 + ... + 255030552770.

It is an arithmetic number, because the mean of its divisors is an integer number (1785213869257).

Almost surely, 2^{10201222110020} is an apocalyptic number.

10201222110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201222110020 is an abundant number, since it is smaller than the sum of its proper divisors (11221344321064).

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

10201222110020 is a wasteful number, since it uses less digits than its factorization.

10201222110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510061105510 (or 510061105508 counting only the distinct ones).

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

Adding to 10201222110020 its reverse (2001122210201), we get a palindrome (12202344320221).

The spelling of 10201222110020 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred ten thousand, twenty".