1122101212104 has 160 divisors (see below), whose sum is σ = 3192695352000. Its totient is φ = 368128575360.

The previous prime is 1122101212093. The next prime is 1122101212109. The reversal of 1122101212104 is 4012121012211.

It is a super-2 number, since 2×1122101212104² (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 not an unprimeable number, because it can be changed into a prime (1122101212109) 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 39 ways as a sum of consecutive naturals, for example, 26985922 + ... + 27027470.

It is an arithmetic number, because the mean of its divisors is an integer number (19954345950).

Almost surely, 2^{1122101212104} 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 1122101212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596347676000).

1122101212104 is an abundant number, since it is smaller than the sum of its proper divisors (2070594139896).

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

1122101212104 is a wasteful number, since it uses less digits than its factorization.

1122101212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42225 (or 42212 counting only the distinct ones).

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

Adding to 1122101212104 its reverse (4012121012211), we get a palindrome (5134222224315).

The spelling of 1122101212104 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, one hundred four".