10220121112221 has 6 divisors (see below), whose sum is σ = 14762397162110. Its totient is φ = 6813414074808.

The previous prime is 10220121112217. The next prime is 10220121112303. The reversal of 10220121112221 is 12221112102201.

10220121112221 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 211 + 12 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8077589252100 + 2142531860121 = 2842110^2 + 1463739^2 .

It is not a de Polignac number, because 10220121112221 - 2² = 10220121112217 is a prime.

It is a super-3 number, since 3×10220121112221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220121112194 and 10220121112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220121112121) 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 5 ways as a sum of consecutive naturals, for example, 567784506226 + ... + 567784506243.

Almost surely, 2^{10220121112221} is an apocalyptic number.

It is an amenable number.

10220121112221 is a deficient number, since it is larger than the sum of its proper divisors (4542276049889).

10220121112221 is a wasteful number, since it uses less digits than its factorization.

10220121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135569012475 (or 1135569012472 counting only the distinct ones).

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

Adding to 10220121112221 its reverse (12221112102201), we get a palindrome (22441233214422).

The spelling of 10220121112221 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".