1000102202101 has 4 divisors (see below), whose sum is σ = 1010004204204. Its totient is φ = 990200200000.

The previous prime is 1000102202081. The next prime is 1000102202119. The reversal of 1000102202101 is 1012022010001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 565819884100 + 434282318001 = 752210^2 + 659001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102202101 - 2²³ = 1000093813493 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 (1000102202201) 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 3 ways as a sum of consecutive naturals, for example, 4951000900 + ... + 4951001101.

It is an arithmetic number, because the mean of its divisors is an integer number (252501051051).

Almost surely, 2^{1000102202101} is an apocalyptic number.

It is an amenable number.

1000102202101 is a deficient number, since it is larger than the sum of its proper divisors (9902002103).

1000102202101 is an equidigital number, since it uses as much as digits as its factorization.

1000102202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902002102.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000102202101 its reverse (1012022010001), we get a palindrome (2012124212102).

The spelling of 1000102202101 in words is "one trillion, one hundred two million, two hundred two thousand, one hundred one".