10122200122221 has 32 divisors (see below), whose sum is σ = 16412398464000. Its totient is φ = 6114684057840.

The previous prime is 10122200122219. The next prime is 10122200122297. The reversal of 10122200122221 is 12222100222101.

It is a happy number.

10122200122221 is a `hidden beast` number, since 1 + 0 + 122 + 200 + 122 + 221 = 666.

It is not a de Polignac number, because 10122200122221 - 2¹ = 10122200122219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122200122194 and 10122200122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200122211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55416121 + ... + 55598478.

It is an arithmetic number, because the mean of its divisors is an integer number (512887452000).

Almost surely, 2^{10122200122221} is an apocalyptic number.

10122200122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122200122221 is a deficient number, since it is larger than the sum of its proper divisors (6290198341779).

10122200122221 is a wasteful number, since it uses less digits than its factorization.

10122200122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111014926 (or 111014920 counting only the distinct ones).

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

Adding to 10122200122221 its reverse (12222100222101), we get a palindrome (22344300344322).

The spelling of 10122200122221 in words is "ten trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, two hundred twenty-one".