10102120120093 has 2 divisors, whose sum is σ = 10102120120094. Its totient is φ = 10102120120092.

The previous prime is 10102120120069. The next prime is 10102120120123. The reversal of 10102120120093 is 39002102120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6005455063609 + 4096665056484 = 2450603^2 + 2024022^2 .

It is an emirp because it is prime and its reverse (39002102120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102120120093 - 2⁴¹ = 7903096864541 is a prime.

It is a super-3 number, since 3×10102120120093³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102120120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051060060046 + 5051060060047.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060060047).

Almost surely, 2^{10102120120093} is an apocalyptic number.

It is an amenable number.

10102120120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102120120093 is an equidigital number, since it uses as much as digits as its factorization.

10102120120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10102120120093 its reverse (39002102120101), we get a palindrome (49104222240194).

The spelling of 10102120120093 in words is "ten trillion, one hundred two billion, one hundred twenty million, one hundred twenty thousand, ninety-three".