1122101212001 has 16 divisors (see below), whose sum is σ = 1399013635200. Its totient is φ = 874345639680.

The previous prime is 1122101211977. The next prime is 1122101212073. The reversal of 1122101212001 is 1002121012211.

It is a cyclic number.

It is not a de Polignac number, because 1122101212001 - 2¹⁰ = 1122101210977 is a prime.

It is a super-2 number, since 2×1122101212001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122101212901) 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, 4193705 + ... + 4453241.

It is an arithmetic number, because the mean of its divisors is an integer number (87438352200).

Almost surely, 2^{1122101212001} is an apocalyptic number.

1122101212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122101212001 is a deficient number, since it is larger than the sum of its proper divisors (276912423199).

1122101212001 is a wasteful number, since it uses less digits than its factorization.

1122101212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315704.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1122101212001 its reverse (1002121012211), we get a palindrome (2124222224212).

The spelling of 1122101212001 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, one".