102100202002201 has 32 divisors (see below), whose sum is σ = 115427377594368. Its totient is φ = 89604460249920.

The previous prime is 102100202002181. The next prime is 102100202002213. The reversal of 102100202002201 is 102200202001201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102100202002201 - 2³¹ = 102098054518553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100203002201) 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 31 ways as a sum of consecutive naturals, for example, 1417412056 + ... + 1417484086.

It is an arithmetic number, because the mean of its divisors is an integer number (3607105549824).

Almost surely, 2^{102100202002201} is an apocalyptic number.

It is an amenable number.

102100202002201 is a deficient number, since it is larger than the sum of its proper divisors (13327175592167).

102100202002201 is a wasteful number, since it uses less digits than its factorization.

102100202002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100621.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100202002201 its reverse (102200202001201), we get a palindrome (204300404003402).

The spelling of 102100202002201 in words is "one hundred two trillion, one hundred billion, two hundred two million, two thousand, two hundred one".