102201242102201 has 24 divisors (see below), whose sum is σ = 112970193633024. Its totient is φ = 92386560420000.

The previous prime is 102201242102171. The next prime is 102201242102207.

It is a happy number.

102201242102201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102201242102201 - 2⁶ = 102201242102137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201242102207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198845336 + ... + 199358646.

It is an arithmetic number, because the mean of its divisors is an integer number (4707091401376).

Almost surely, 2^{102201242102201} is an apocalyptic number.

102201242102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201242102201 is a deficient number, since it is larger than the sum of its proper divisors (10768951530823).

102201242102201 is a wasteful number, since it uses less digits than its factorization.

102201242102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522605 (or 522594 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 10220 and 1242102201, that added together give a palindrome (1242112421).

The spelling of 102201242102201 in words is "one hundred two trillion, two hundred one billion, two hundred forty-two million, one hundred two thousand, two hundred one".