202112202101 has 2 divisors, whose sum is σ = 202112202102. Its totient is φ = 202112202100.

The previous prime is 202112202079. The next prime is 202112202107. The reversal of 202112202101 is 101202211202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137722632100 + 64389570001 = 371110^2 + 253751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-202112202101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202112202107) 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 as a sum of consecutive naturals, namely, 101056101050 + 101056101051.

It is an arithmetic number, because the mean of its divisors is an integer number (101056101051).

Almost surely, 2^202112202101 is an apocalyptic number.

It is an amenable number.

202112202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112202101 is an equidigital number, since it uses as much as digits as its factorization.

202112202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202112202101 its reverse (101202211202), we get a palindrome (303314413303).

The spelling of 202112202101 in words is "two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred one".