100102101193 has 2 divisors, whose sum is σ = 100102101194. Its totient is φ = 100102101192.

The previous prime is 100102101161. The next prime is 100102101199. The reversal of 100102101193 is 391101201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53632538569 + 46469562624 = 231587^2 + 215568^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102101193 - 2⁵ = 100102101161 is a prime.

It is a super-2 number, since 2×100102101193² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100102101193.

It is not a weakly prime, because it can be changed into another prime (100102101199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051050596 + 50051050597.

It is an arithmetic number, because the mean of its divisors is an integer number (50051050597).

Almost surely, 2^100102101193 is an apocalyptic number.

It is an amenable number.

100102101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102101193 is an equidigital number, since it uses as much as digits as its factorization.

100102101193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 100102101193 its reverse (391101201001), we get a palindrome (491203302194).

It can be divided in two parts, 100102 and 101193, that added together give a triangular number (201295 = T₆₃₄).

The spelling of 100102101193 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred ninety-three".