101223100093 has 2 divisors, whose sum is σ = 101223100094. Its totient is φ = 101223100092.

The previous prime is 101223100091. The next prime is 101223100129. The reversal of 101223100093 is 390001322101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99554132484 + 1668967609 = 315522^2 + 40853^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223100093 - 2¹ = 101223100091 is a prime.

It is a super-2 number, since 2×101223100093² (a number of 23 digits) contains 22 as substring.

Together with 101223100091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101223100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611550046 + 50611550047.

It is an arithmetic number, because the mean of its divisors is an integer number (50611550047).

Almost surely, 2^101223100093 is an apocalyptic number.

It is an amenable number.

101223100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223100093 is an equidigital number, since it uses as much as digits as its factorization.

101223100093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101223100093 its reverse (390001322101), we get a palindrome (491224422194).

The spelling of 101223100093 in words is "one hundred one billion, two hundred twenty-three million, one hundred thousand, ninety-three".