101012002112083 has 2 divisors, whose sum is σ = 101012002112084. Its totient is φ = 101012002112082.

The previous prime is 101012002112071. The next prime is 101012002112141. The reversal of 101012002112083 is 380211200210101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101012002112083 - 2⁵ = 101012002112051 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012002110083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506001056041 + 50506001056042.

It is an arithmetic number, because the mean of its divisors is an integer number (50506001056042).

Almost surely, 2^{101012002112083} is an apocalyptic number.

101012002112083 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012002112083 is an equidigital number, since it uses as much as digits as its factorization.

101012002112083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 101012002112083 its reverse (380211200210101), we get a palindrome (481223202322184).

The spelling of 101012002112083 in words is "one hundred one trillion, twelve billion, two million, one hundred twelve thousand, eighty-three".