10220022121221 has 64 divisors (see below), whose sum is σ = 16894258560000. Its totient is φ = 6053772392640.

The previous prime is 10220022121201. The next prime is 10220022121249. The reversal of 10220022121221 is 12212122002201.

It is a happy number.

10220022121221 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 221 + 21 + 221 = 666.

It is not a de Polignac number, because 10220022121221 - 2¹⁴ = 10220022104837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220022121194 and 10220022121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220022121201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345830 + ... + 4717128.

It is an arithmetic number, because the mean of its divisors is an integer number (263972790000).

Almost surely, 2^{10220022121221} is an apocalyptic number.

10220022121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220022121221 is a deficient number, since it is larger than the sum of its proper divisors (6674236438779).

10220022121221 is a wasteful number, since it uses less digits than its factorization.

10220022121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371551 (or 3371545 counting only the distinct ones).

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

Adding to 10220022121221 its reverse (12212122002201), we get a palindrome (22432144123422).

The spelling of 10220022121221 in words is "ten trillion, two hundred twenty billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty-one".