1122012101001 has 24 divisors (see below), whose sum is σ = 1644535509120. Its totient is φ = 679943593120.

The previous prime is 1122012100997. The next prime is 1122012101011. The reversal of 1122012101001 is 1001012102211.

It is not a de Polignac number, because 1122012101001 - 2² = 1122012100997 is a prime.

It is a super-2 number, since 2×1122012101001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122012101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3887440 + ... + 4166078.

It is an arithmetic number, because the mean of its divisors is an integer number (68522312880).

Almost surely, 2^{1122012101001} is an apocalyptic number.

1122012101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122012101001 is a deficient number, since it is larger than the sum of its proper divisors (522523408119).

1122012101001 is a wasteful number, since it uses less digits than its factorization.

1122012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289757 (or 289746 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122012101001 its reverse (1001012102211), we get a palindrome (2123024203212).

It can be divided in two parts, 112201210 and 1001, that added together give a palindrome (112202211).

The spelling of 1122012101001 in words is "one trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one".