10200212212221 has 12 divisors (see below), whose sum is σ = 14879517485820. Its totient is φ = 6732813340800.

The previous prime is 10200212212193. The next prime is 10200212212231. The reversal of 10200212212221 is 12221221200201.

It is a happy number.

10200212212221 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 212 + 212 + 221 = 666.

10200212212221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8583464360025 + 1616747852196 = 2929755^2 + 1271514^2 .

It is not a de Polignac number, because 10200212212221 - 2⁷ = 10200212212093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200212212194 and 10200212212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200212212231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610676876 + ... + 5610678693.

It is an arithmetic number, because the mean of its divisors is an integer number (1239959790485).

Almost surely, 2^{10200212212221} is an apocalyptic number.

It is an amenable number.

10200212212221 is a deficient number, since it is larger than the sum of its proper divisors (4679305273599).

10200212212221 is a wasteful number, since it uses less digits than its factorization.

10200212212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221355676 (or 11221355673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10200212212221 its reverse (12221221200201), we get a palindrome (22421433412422).

The spelling of 10200212212221 in words is "ten trillion, two hundred billion, two hundred twelve million, two hundred twelve thousand, two hundred twenty-one".