10222211122101 has 48 divisors (see below), whose sum is σ = 16545869241408. Its totient is φ = 6026819731200.

The previous prime is 10222211122061. The next prime is 10222211122147. The reversal of 10222211122101 is 10122111222201.

10222211122101 is a `hidden beast` number, since 10 + 222 + 211 + 1 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 10222211122101 - 2⁹ = 10222211121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222211192101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21697321 + ... + 22163441.

It is an arithmetic number, because the mean of its divisors is an integer number (344705609196).

Almost surely, 2^{10222211122101} is an apocalyptic number.

10222211122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222211122101 is a deficient number, since it is larger than the sum of its proper divisors (6323658119307).

10222211122101 is a wasteful number, since it uses less digits than its factorization.

10222211122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472162 (or 472159 counting only the distinct ones).

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

Adding to 10222211122101 its reverse (10122111222201), we get a palindrome (20344322344302).

The spelling of 10222211122101 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".