10222220101120 has 160 divisors (see below), whose sum is σ = 25317035606016. Its totient is φ = 3954323251200.

The previous prime is 10222220101117. The next prime is 10222220101201. The reversal of 10222220101120 is 2110102222201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 10222220101094 and 10222220101103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119870337 + ... + 119955583.

Almost surely, 2^{10222220101120} is an apocalyptic number.

10222220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222220101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658517803008).

10222220101120 is an abundant number, since it is smaller than the sum of its proper divisors (15094815504896).

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

10222220101120 is an equidigital number, since it uses as much as digits as its factorization.

10222220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86812 (or 86796 counting only the distinct ones).

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

Adding to 10222220101120 its reverse (2110102222201), we get a palindrome (12332322323321).

The spelling of 10222220101120 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, one hundred one thousand, one hundred twenty".