101012220193 has 2 divisors, whose sum is σ = 101012220194. Its totient is φ = 101012220192.

The previous prime is 101012220181. The next prime is 101012220209. The reversal of 101012220193 is 391022210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56690181409 + 44322038784 = 238097^2 + 210528^2 .

It is an emirp because it is prime and its reverse (391022210101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012220193 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012290193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506110096 + 50506110097.

It is an arithmetic number, because the mean of its divisors is an integer number (50506110097).

Almost surely, 2^101012220193 is an apocalyptic number.

It is an amenable number.

101012220193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012220193 is an equidigital number, since it uses as much as digits as its factorization.

101012220193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 101012220193 its reverse (391022210101), we get a palindrome (492034430294).

The spelling of 101012220193 in words is "one hundred one billion, twelve million, two hundred twenty thousand, one hundred ninety-three".