102221122012001 has 4 divisors (see below), whose sum is σ = 102221166295572. Its totient is φ = 102221077728432.

The previous prime is 102221122011937. The next prime is 102221122012003. The reversal of 102221122012001 is 100210221122201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 86319410598976 + 15901711413025 = 9290824^2 + 3987695^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221122012001 - 2⁶ = 102221122011937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221122012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18477110 + ... + 23363343.

It is an arithmetic number, because the mean of its divisors is an integer number (25555291573893).

Almost surely, 2^{102221122012001} is an apocalyptic number.

It is an amenable number.

102221122012001 is a deficient number, since it is larger than the sum of its proper divisors (44283571).

102221122012001 is an equidigital number, since it uses as much as digits as its factorization.

102221122012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44283570.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102221122012001 its reverse (100210221122201), we get a palindrome (202431343134202).

The spelling of 102221122012001 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, twelve thousand, one".