101001022102093 has 2 divisors, whose sum is σ = 101001022102094. Its totient is φ = 101001022102092.

The previous prime is 101001022102069. The next prime is 101001022102133. The reversal of 101001022102093 is 390201220100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98393643293449 + 2607378808644 = 9919357^2 + 1614738^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001022102093 - 2²⁵ = 101000988547661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001022192093) 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, 50500511051046 + 50500511051047.

It is an arithmetic number, because the mean of its divisors is an integer number (50500511051047).

Almost surely, 2^{101001022102093} is an apocalyptic number.

It is an amenable number.

101001022102093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001022102093 is an equidigital number, since it uses as much as digits as its factorization.

101001022102093 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 101001022102093 its reverse (390201220100101), we get a palindrome (491202242202194).

The spelling of 101001022102093 in words is "one hundred one trillion, one billion, twenty-two million, one hundred two thousand, ninety-three".