10102202101 has 2 divisors, whose sum is σ = 10102202102. Its totient is φ = 10102202100.

The previous prime is 10102202053. The next prime is 10102202161. The reversal of 10102202101 is 10120220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8231207076 + 1870995025 = 90726^2 + 43255^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102202101 - 2¹³ = 10102193909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102202161) 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 as a sum of consecutive naturals, namely, 5051101050 + 5051101051.

It is an arithmetic number, because the mean of its divisors is an integer number (5051101051).

Almost surely, 2^10102202101 is an apocalyptic number.

It is an amenable number.

10102202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102202101 is an equidigital number, since it uses as much as digits as its factorization.

10102202101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10102202101 its reverse (10120220101), we get a palindrome (20222422202).

The spelling of 10102202101 in words is "ten billion, one hundred two million, two hundred two thousand, one hundred one".