1122031002101 has 16 divisors (see below), whose sum is σ = 1190153159280. Its totient is φ = 1054145326080.

The previous prime is 1122031002041. The next prime is 1122031002109. The reversal of 1122031002101 is 1012001302211.

It can be written as a sum of positive squares in 8 ways, for example, as 4760862001 + 1117270140100 = 68999^2 + 1057010^2 .

It is a cyclic number.

It is not a de Polignac number, because 1122031002101 - 2¹⁴ = 1122030985717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122031002109) 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 15 ways as a sum of consecutive naturals, for example, 49397735 + ... + 49420443.

It is an arithmetic number, because the mean of its divisors is an integer number (74384572455).

Almost surely, 2^{1122031002101} is an apocalyptic number.

It is an amenable number.

1122031002101 is a deficient number, since it is larger than the sum of its proper divisors (68122157179).

1122031002101 is a wasteful number, since it uses less digits than its factorization.

1122031002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27784.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1122031002101 its reverse (1012001302211), we get a palindrome (2134032304312).

The spelling of 1122031002101 in words is "one trillion, one hundred twenty-two billion, thirty-one million, two thousand, one hundred one".