10122221021121 has 24 divisors (see below), whose sum is σ = 16048020265056. Its totient is φ = 6097043327040.

The previous prime is 10122221021089. The next prime is 10122221021179. The reversal of 10122221021121 is 12112012222101.

10122221021121 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 210 + 211 + 21 = 666.

It is not a de Polignac number, because 10122221021121 - 2⁵ = 10122221021089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122221021094 and 10122221021103.

It is not an unprimeable number, because it can be changed into a prime (10122221021021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313617780 + ... + 313650053.

It is an arithmetic number, because the mean of its divisors is an integer number (668667511044).

Almost surely, 2^{10122221021121} is an apocalyptic number.

10122221021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122221021121 is a deficient number, since it is larger than the sum of its proper divisors (5925799243935).

10122221021121 is a wasteful number, since it uses less digits than its factorization.

10122221021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627268013 (or 627268010 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122221021121 its reverse (12112012222101), we get a palindrome (22234233243222).

The spelling of 10122221021121 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty-one".