101232031120093 has 2 divisors, whose sum is σ = 101232031120094. Its totient is φ = 101232031120092.

The previous prime is 101232031120001. The next prime is 101232031120097. The reversal of 101232031120093 is 390021130232101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73890562705444 + 27341468414649 = 8595962^2 + 5228907^2 .

It is a cyclic number.

It is not a de Polignac number, because 101232031120093 - 2²¹ = 101232029022941 is a prime.

It is a super-3 number, since 3×101232031120093³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101232031120097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616015560046 + 50616015560047.

It is an arithmetic number, because the mean of its divisors is an integer number (50616015560047).

Almost surely, 2^{101232031120093} is an apocalyptic number.

It is an amenable number.

101232031120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101232031120093 is an equidigital number, since it uses as much as digits as its factorization.

101232031120093 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 28.

Adding to 101232031120093 its reverse (390021130232101), we get a palindrome (491253161352194).

The spelling of 101232031120093 in words is "one hundred one trillion, two hundred thirty-two billion, thirty-one million, one hundred twenty thousand, ninety-three".