200102221100101 has 8 divisors (see below), whose sum is σ = 200125966602744. Its totient is φ = 200078476505280.

The previous prime is 200102221100099. The next prime is 200102221100137. The reversal of 200102221100101 is 101001122201002.

It can be written as a sum of positive squares in 4 ways, for example, as 82916941303876 + 117185279796225 = 9105874^2 + 10825215^2 .

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 200102221100101 - 2¹ = 200102221100099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102221104101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506271111 + ... + 506666203.

It is an arithmetic number, because the mean of its divisors is an integer number (25015745825343).

Almost surely, 2^{200102221100101} is an apocalyptic number.

It is an amenable number.

200102221100101 is a deficient number, since it is larger than the sum of its proper divisors (23745502643).

200102221100101 is a wasteful number, since it uses less digits than its factorization.

200102221100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453911.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200102221100101 its reverse (101001122201002), we get a palindrome (301103343301103).

The spelling of 200102221100101 in words is "two hundred trillion, one hundred two billion, two hundred twenty-one million, one hundred thousand, one hundred one".