10220221220121 has 12 divisors (see below), whose sum is σ = 16104591013680. Its totient is φ = 6194073466680.

The previous prime is 10220221220101. The next prime is 10220221220123. The reversal of 10220221220121 is 12102212202201.

It is a happy number.

10220221220121 is a `hidden beast` number, since 1 + 0 + 220 + 221 + 2 + 201 + 21 = 666.

It is not a de Polignac number, because 10220221220121 - 2⁹ = 10220221219609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220221220094 and 10220221220103.

It is not an unprimeable number, because it can be changed into a prime (10220221220123) 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, 51617278791 + ... + 51617278988.

It is an arithmetic number, because the mean of its divisors is an integer number (1342049251140).

Almost surely, 2^{10220221220121} is an apocalyptic number.

10220221220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220221220121 is a deficient number, since it is larger than the sum of its proper divisors (5884369793559).

10220221220121 is a wasteful number, since it uses less digits than its factorization.

10220221220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103234557796 (or 103234557793 counting only the distinct ones).

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

Adding to 10220221220121 its reverse (12102212202201), we get a palindrome (22322433422322).

The spelling of 10220221220121 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".