102011002001093 has 2 divisors, whose sum is σ = 102011002001094. Its totient is φ = 102011002001092.

The previous prime is 102011002001081. The next prime is 102011002001147. The reversal of 102011002001093 is 390100200110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98066992682884 + 3944009318209 = 9902878^2 + 1985953^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011002001093 - 2¹⁰ = 102011002000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011002001003) 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, 51005501000546 + 51005501000547.

It is an arithmetic number, because the mean of its divisors is an integer number (51005501000547).

Almost surely, 2^{102011002001093} is an apocalyptic number.

It is an amenable number.

102011002001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011002001093 is an equidigital number, since it uses as much as digits as its factorization.

102011002001093 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 102011002001093 its reverse (390100200110201), we get a palindrome (492111202111294).

The spelling of 102011002001093 in words is "one hundred two trillion, eleven billion, two million, one thousand, ninety-three".