101001111112093 has 2 divisors, whose sum is σ = 101001111112094. Its totient is φ = 101001111112092.

The previous prime is 101001111112079. The next prime is 101001111112123. The reversal of 101001111112093 is 390211111100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96809010470649 + 4192100641444 = 9839157^2 + 2047462^2 .

It is an emirp because it is prime and its reverse (390211111100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101001111112093 - 2⁴⁵ = 65816739023261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001111112003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555556046 + 50500555556047.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555556047).

Almost surely, 2^{101001111112093} is an apocalyptic number.

It is an amenable number.

101001111112093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111112093 is an equidigital number, since it uses as much as digits as its factorization.

101001111112093 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 22.

Adding to 101001111112093 its reverse (390211111100101), we get a palindrome (491212222212194).

The spelling of 101001111112093 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred twelve thousand, ninety-three".