100231142101093 has 2 divisors, whose sum is σ = 100231142101094. Its totient is φ = 100231142101092.

The previous prime is 100231142101091. The next prime is 100231142101159. The reversal of 100231142101093 is 390101241132001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99096111818209 + 1135030282884 = 9954703^2 + 1065378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100231142101093 - 2¹ = 100231142101091 is a prime.

Together with 100231142101091, 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 (100231142101091) 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, 50115571050546 + 50115571050547.

It is an arithmetic number, because the mean of its divisors is an integer number (50115571050547).

Almost surely, 2^{100231142101093} is an apocalyptic number.

It is an amenable number.

100231142101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100231142101093 is an equidigital number, since it uses as much as digits as its factorization.

100231142101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 100231142101093 its reverse (390101241132001), we get a palindrome (490332383233094).

The spelling of 100231142101093 in words is "one hundred trillion, two hundred thirty-one billion, one hundred forty-two million, one hundred one thousand, ninety-three".