10022011220221 has 48 divisors (see below), whose sum is σ = 13701007631808. Its totient is φ = 7206222240000.

The previous prime is 10022011220149. The next prime is 10022011220323. The reversal of 10022011220221 is 12202211022001.

It is a happy number.

It is not a de Polignac number, because 10022011220221 - 2⁷ = 10022011220093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022011220195 and 10022011220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022012220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20789706 + ... + 21266308.

It is an arithmetic number, because the mean of its divisors is an integer number (285437658996).

Almost surely, 2^{10022011220221} is an apocalyptic number.

10022011220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10022011220221 is a deficient number, since it is larger than the sum of its proper divisors (3678996411587).

10022011220221 is a wasteful number, since it uses less digits than its factorization.

10022011220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479642 (or 479635 counting only the distinct ones).

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

Adding to 10022011220221 its reverse (12202211022001), we get a palindrome (22224222242222).

The spelling of 10022011220221 in words is "ten trillion, twenty-two billion, eleven million, two hundred twenty thousand, two hundred twenty-one".