10100102093 has 2 divisors, whose sum is σ = 10100102094. Its totient is φ = 10100102092.

The previous prime is 10100102071. The next prime is 10100102119. The reversal of 10100102093 is 39020100101.

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., 8644908484 + 1455193609 = 92978^2 + 38147^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100102093 - 2¹⁰ = 10100101069 is a prime.

It is a super-3 number, since 3×10100102093³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050051046 + 5050051047.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051047).

Almost surely, 2^10100102093 is an apocalyptic number.

It is an amenable number.

10100102093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100102093 is an equidigital number, since it uses as much as digits as its factorization.

10100102093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10100102093 its reverse (39020100101), we get a palindrome (49120202194).

The spelling of 10100102093 in words is "ten billion, one hundred million, one hundred two thousand, ninety-three".