1122101020224 has 168 divisors, whose sum is σ = 3390693516288. Its totient is φ = 354266357760.

The previous prime is 1122101020219. The next prime is 1122101020253. The reversal of 1122101020224 is 4220201012211.

It is a super-2 number, since 2×1122101020224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122101020197 and 1122101020206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170704 + ... + 1507760.

Almost surely, 2^{1122101020224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122101020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695346758144).

1122101020224 is an abundant number, since it is smaller than the sum of its proper divisors (2268592496064).

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

1122101020224 is a wasteful number, since it uses less digits than its factorization.

1122101020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337153 (or 1337140 counting only the distinct ones).

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

Adding to 1122101020224 its reverse (4220201012211), we get a palindrome (5342302032435).

The spelling of 1122101020224 in words is "one trillion, one hundred twenty-two billion, one hundred one million, twenty thousand, two hundred twenty-four".