10200101000093 has 2 divisors, whose sum is σ = 10200101000094. Its totient is φ = 10200101000092.

The previous prime is 10200101000041. The next prime is 10200101000147. The reversal of 10200101000093 is 39000010100201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9342693522724 + 857407477369 = 3056582^2 + 925963^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200101000093 - 2¹⁸ = 10200100737949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200101000693) 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, 5100050500046 + 5100050500047.

It is an arithmetic number, because the mean of its divisors is an integer number (5100050500047).

Almost surely, 2^{10200101000093} is an apocalyptic number.

It is an amenable number.

10200101000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200101000093 is an equidigital number, since it uses as much as digits as its factorization.

10200101000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10200101000093 its reverse (39000010100201), we get a palindrome (49200111100294).

The spelling of 10200101000093 in words is "ten trillion, two hundred billion, one hundred one million, ninety-three", and thus it is an aban number.