103011132110093 has 2 divisors, whose sum is σ = 103011132110094. Its totient is φ = 103011132110092.

The previous prime is 103011132110053. The next prime is 103011132110129. The reversal of 103011132110093 is 390011231110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84712474707844 + 18298657402249 = 9203938^2 + 4277693^2 .

It is a cyclic number.

It is not a de Polignac number, because 103011132110093 - 2²⁴ = 103011115332877 is a prime.

It is a super-2 number, since 2×103011132110093² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103011132110053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51505566055046 + 51505566055047.

It is an arithmetic number, because the mean of its divisors is an integer number (51505566055047).

Almost surely, 2^{103011132110093} is an apocalyptic number.

It is an amenable number.

103011132110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

103011132110093 is an equidigital number, since it uses as much as digits as its factorization.

103011132110093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

Adding to 103011132110093 its reverse (390011231110301), we get a palindrome (493022363220394).

The spelling of 103011132110093 in words is "one hundred three trillion, eleven billion, one hundred thirty-two million, one hundred ten thousand, ninety-three".