101012120093 has 2 divisors, whose sum is σ = 101012120094. Its totient is φ = 101012120092.

The previous prime is 101012120017. The next prime is 101012120119. The reversal of 101012120093 is 390021210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100947269284 + 64850809 = 317722^2 + 8053^2 .

It is an emirp because it is prime and its reverse (390021210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012120093 - 2²⁸ = 100743684637 is a prime.

It is a super-3 number, since 3×101012120093³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060046 + 50506060047.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060047).

Almost surely, 2^101012120093 is an apocalyptic number.

It is an amenable number.

101012120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012120093 is an equidigital number, since it uses as much as digits as its factorization.

101012120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101012120093 its reverse (390021210101), we get a palindrome (491033330194).

The spelling of 101012120093 in words is "one hundred one billion, twelve million, one hundred twenty thousand, ninety-three".