1002122122201 has 8 divisors (see below), whose sum is σ = 1034856147200. Its totient is φ = 969413566320.

The previous prime is 1002122122129. The next prime is 1002122122273. The reversal of 1002122122201 is 1022212212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002122122129) and next prime (1002122122273).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002122122201 - 2¹³ = 1002122114009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002122122501) 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 7 ways as a sum of consecutive naturals, for example, 6287286 + ... + 6444703.

It is an arithmetic number, because the mean of its divisors is an integer number (129357018400).

Almost surely, 2^{1002122122201} is an apocalyptic number.

It is an amenable number.

1002122122201 is a deficient number, since it is larger than the sum of its proper divisors (32734024999).

1002122122201 is a wasteful number, since it uses less digits than its factorization.

1002122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734559.

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

Adding to 1002122122201 its reverse (1022212212001), we get a palindrome (2024334334202).

The spelling of 1002122122201 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".