1122001000101 has 6 divisors (see below), whose sum is σ = 1620668111270. Its totient is φ = 748000666728.

The previous prime is 1122001000069. The next prime is 1122001000139. The reversal of 1122001000101 is 1010001002211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1120401080100 + 1599920001 = 1058490^2 + 39999^2 .

It is not a de Polignac number, because 1122001000101 - 2⁵ = 1122001000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 124666777789 = 1122001000101 / (1 + 1 + 2 + 2 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122001000171) 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 5 ways as a sum of consecutive naturals, for example, 62333388886 + ... + 62333388903.

Almost surely, 2^{1122001000101} is an apocalyptic number.

It is an amenable number.

1122001000101 is a deficient number, since it is larger than the sum of its proper divisors (498667111169).

1122001000101 is a wasteful number, since it uses less digits than its factorization.

1122001000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124666777795 (or 124666777792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1122001000101 its reverse (1010001002211), we get a palindrome (2132002002312).

The spelling of 1122001000101 in words is "one trillion, one hundred twenty-two billion, one million, one hundred one", and thus it is an aban number.