102201100101 has 6 divisors (see below), whose sum is σ = 147623811270. Its totient is φ = 68134066728.

The previous prime is 102201100091. The next prime is 102201100103. The reversal of 102201100101 is 101001102201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 62125064001 + 40076036100 = 249249^2 + 200190^2 .

It is not a de Polignac number, because 102201100101 - 2¹⁸ = 102200837957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11355677789 = 102201100101 / (1 + 0 + 2 + 2 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5677838886 + ... + 5677838903.

It is an arithmetic number, because the mean of its divisors is an integer number (24603968545).

Almost surely, 2^102201100101 is an apocalyptic number.

It is an amenable number.

102201100101 is a deficient number, since it is larger than the sum of its proper divisors (45422711169).

102201100101 is a wasteful number, since it uses less digits than its factorization.

102201100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355677795 (or 11355677792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102201100101 its reverse (101001102201), we get a palindrome (203202202302).

The spelling of 102201100101 in words is "one hundred two billion, two hundred one million, one hundred thousand, one hundred one".