102200012222201 has 8 divisors (see below), whose sum is σ = 103221992396424. Its totient is φ = 101182031971200.

The previous prime is 102200012222153. The next prime is 102200012222219. The reversal of 102200012222201 is 102222210002201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6311656314601 + 95888355907600 = 2512301^2 + 9792260^2 .

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 102200012222201 - 2³⁰ = 102198938480377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200012222201.

It is not an unprimeable number, because it can be changed into a prime (102200012222261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999929450 + ... + 1000031651.

It is an arithmetic number, because the mean of its divisors is an integer number (12902749049553).

Almost surely, 2^{102200012222201} is an apocalyptic number.

It is an amenable number.

102200012222201 is a deficient number, since it is larger than the sum of its proper divisors (1021980174223).

102200012222201 is a wasteful number, since it uses less digits than its factorization.

102200012222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999961611.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102200012222201 its reverse (102222210002201), we get a palindrome (204422222224402).

The spelling of 102200012222201 in words is "one hundred two trillion, two hundred billion, twelve million, two hundred twenty-two thousand, two hundred one".