10100101100083 has 2 divisors, whose sum is σ = 10100101100084. Its totient is φ = 10100101100082.

The previous prime is 10100101100081. The next prime is 10100101100107. The reversal of 10100101100083 is 38000110100101.

10100101100083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10100101100083 - 2¹ = 10100101100081 is a prime.

Together with 10100101100081, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10100101100081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050550041 + 5050050550042.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050550042).

Almost surely, 2^{10100101100083} is an apocalyptic number.

10100101100083 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101100083 is an equidigital number, since it uses as much as digits as its factorization.

10100101100083 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10100101100083 its reverse (38000110100101), we get a palindrome (48100211200184).

The spelling of 10100101100083 in words is "ten trillion, one hundred billion, one hundred one million, one hundred thousand, eighty-three".