102203123322201 has 128 divisors (see below), whose sum is σ = 158212580216832. Its totient is φ = 58080232320000.

The previous prime is 102203123322197. The next prime is 102203123322217. The reversal of 102203123322201 is 102223321302201.

It is not a de Polignac number, because 102203123322201 - 2² = 102203123322197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102203123422201) 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 127 ways as a sum of consecutive naturals, for example, 26092191895 + ... + 26092195811.

It is an arithmetic number, because the mean of its divisors is an integer number (1236035782944).

Almost surely, 2^{102203123322201} is an apocalyptic number.

102203123322201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102203123322201 is a deficient number, since it is larger than the sum of its proper divisors (56009456894631).

102203123322201 is a wasteful number, since it uses less digits than its factorization.

102203123322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102203123322201 its reverse (102223321302201), we get a palindrome (204426444624402).

The spelling of 102203123322201 in words is "one hundred two trillion, two hundred three billion, one hundred twenty-three million, three hundred twenty-two thousand, two hundred one".