1002221222101 has 64 divisors (see below), whose sum is σ = 1139953305600. Its totient is φ = 873423682560.

The previous prime is 1002221222077. The next prime is 1002221222111. The reversal of 1002221222101 is 1012221222001.

It is a happy number.

It is not a de Polignac number, because 1002221222101 - 2¹³ = 1002221213909 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 (1002221222111) 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 63 ways as a sum of consecutive naturals, for example, 1673157000 + ... + 1673157598.

It is an arithmetic number, because the mean of its divisors is an integer number (17811770400).

Almost surely, 2^{1002221222101} is an apocalyptic number.

1002221222101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002221222101 is a deficient number, since it is larger than the sum of its proper divisors (137732083499).

1002221222101 is a wasteful number, since it uses less digits than its factorization.

1002221222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1002221222101 its reverse (1012221222001), we get a palindrome (2014442444102).

The spelling of 1002221222101 in words is "one trillion, two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".