101121032123093 has 2 divisors, whose sum is σ = 101121032123094. Its totient is φ = 101121032123092.

The previous prime is 101121032123009. The next prime is 101121032123179. The reversal of 101121032123093 is 390321230121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80664073017124 + 20456959105969 = 8981318^2 + 4522937^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121032123093 - 2³⁶ = 101052312646357 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121032323093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560516061546 + 50560516061547.

It is an arithmetic number, because the mean of its divisors is an integer number (50560516061547).

Almost surely, 2^{101121032123093} is an apocalyptic number.

It is an amenable number.

101121032123093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121032123093 is an equidigital number, since it uses as much as digits as its factorization.

101121032123093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

Adding to 101121032123093 its reverse (390321230121101), we get a palindrome (491442262244194).

The spelling of 101121032123093 in words is "one hundred one trillion, one hundred twenty-one billion, thirty-two million, one hundred twenty-three thousand, ninety-three".