100101202202093 has 2 divisors, whose sum is σ = 100101202202094. Its totient is φ = 100101202202092.

The previous prime is 100101202202069. The next prime is 100101202202153. The reversal of 100101202202093 is 390202202101001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79441604652004 + 20659597550089 = 8913002^2 + 4545283^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101202202093 - 2¹⁴ = 100101202185709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101202202993) 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, 50050601101046 + 50050601101047.

It is an arithmetic number, because the mean of its divisors is an integer number (50050601101047).

Almost surely, 2^{100101202202093} is an apocalyptic number.

It is an amenable number.

100101202202093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101202202093 is an equidigital number, since it uses as much as digits as its factorization.

100101202202093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 100101202202093 its reverse (390202202101001), we get a palindrome (490303404303094).

The spelling of 100101202202093 in words is "one hundred trillion, one hundred one billion, two hundred two million, two hundred two thousand, ninety-three".