102102200021 has 8 divisors (see below), whose sum is σ = 103274257944. Its totient is φ = 100936327680.

The previous prime is 102102199987. The next prime is 102102200027. The reversal of 102102200021 is 120002201201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66290800900 + 35811399121 = 257470^2 + 189239^2 .

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 102102200021 - 2¹⁸ = 102101937877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102102199975 and 102102200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102200027) 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 7 ways as a sum of consecutive naturals, for example, 1513190 + ... + 1579223.

It is an arithmetic number, because the mean of its divisors is an integer number (12909282243).

Almost surely, 2^102102200021 is an apocalyptic number.

It is an amenable number.

102102200021 is a deficient number, since it is larger than the sum of its proper divisors (1172057923).

102102200021 is a wasteful number, since it uses less digits than its factorization.

102102200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092791.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102102200021 its reverse (120002201201), we get a palindrome (222104401222).

The spelling of 102102200021 in words is "one hundred two billion, one hundred two million, two hundred thousand, twenty-one".