10200122120221 has 32 divisors (see below), whose sum is σ = 11474679977856. Its totient is φ = 8989153920000.

The previous prime is 10200122120171. The next prime is 10200122120239. The reversal of 10200122120221 is 12202122100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10200122120221 - 2⁹ = 10200122119709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200122120195 and 10200122120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10652106 + ... + 11570116.

It is an arithmetic number, because the mean of its divisors is an integer number (358583749308).

Almost surely, 2^{10200122120221} is an apocalyptic number.

10200122120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200122120221 is a deficient number, since it is larger than the sum of its proper divisors (1274557857635).

10200122120221 is a wasteful number, since it uses less digits than its factorization.

10200122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918333.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10200122120221 its reverse (12202122100201), we get a palindrome (22402244220422).

It can be divided in two parts, 102001 and 22120221, that added together give a palindrome (22222222).

The spelling of 10200122120221 in words is "ten trillion, two hundred billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".