10220110122321 has 160 divisors (see below), whose sum is σ = 16873858805760. Its totient is φ = 6138639561600.

The previous prime is 10220110122301. The next prime is 10220110122329. The reversal of 10220110122321 is 12322101102201.

10220110122321 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 0 + 122 + 321 = 666.

It is not a de Polignac number, because 10220110122321 - 2¹⁰ = 10220110121297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10220110122294 and 10220110122303.

It is not an unprimeable number, because it can be changed into a prime (10220110122329) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16196687676 + ... + 16196688306.

It is an arithmetic number, because the mean of its divisors is an integer number (105461617536).

Almost surely, 2^{10220110122321} is an apocalyptic number.

10220110122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220110122321 is a deficient number, since it is larger than the sum of its proper divisors (6653748683439).

10220110122321 is an frugal number, since it uses more digits than its factorization.

10220110122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10220110122321 its reverse (12322101102201), we get a palindrome (22542211224522).

The spelling of 10220110122321 in words is "ten trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, three hundred twenty-one".