1122210221201 has 16 divisors (see below), whose sum is σ = 1203288624720. Its totient is φ = 1042839705600.

The previous prime is 1122210221183. The next prime is 1122210221213. The reversal of 1122210221201 is 1021220122211.

It can be written as a sum of positive squares in 8 ways, for example, as 3267265600 + 1118942955601 = 57160^2 + 1057801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1122210221201 is a prime.

It is a super-3 number, since 3×1122210221201³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122210221201.

It is not an unprimeable number, because it can be changed into a prime (1122210221101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531575 + ... + 1589651.

It is an arithmetic number, because the mean of its divisors is an integer number (75205539045).

Almost surely, 2^{1122210221201} is an apocalyptic number.

It is an amenable number.

1122210221201 is a deficient number, since it is larger than the sum of its proper divisors (81078403519).

1122210221201 is a wasteful number, since it uses less digits than its factorization.

1122210221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058884.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1122210221201 its reverse (1021220122211), we get a palindrome (2143430343412).

The spelling of 1122210221201 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand, two hundred one".