10222211101120 has 112 divisors (see below), whose sum is σ = 25922483535168. Its totient is φ = 3826116608000.

The previous prime is 10222211101117. The next prime is 10222211101121. The reversal of 10222211101120 is 2110111222201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10222211101094 and 10222211101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222211101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4489756 + ... + 6371995.

Almost surely, 2^{10222211101120} is an apocalyptic number.

10222211101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222211101120 is an abundant number, since it is smaller than the sum of its proper divisors (15700272434048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222211101120 is a wasteful number, since it uses less digits than its factorization.

10222211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861958 (or 10861948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10222211101120 its reverse (2110111222201), we get a palindrome (12332322323321).

The spelling of 10222211101120 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred one thousand, one hundred twenty".