100101010101083 has 2 divisors, whose sum is σ = 100101010101084. Its totient is φ = 100101010101082.

The previous prime is 100101010101073. The next prime is 100101010101137. The reversal of 100101010101083 is 380101010101001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100101010101083 - 2²⁴ = 100100993323867 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101010101073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505050541 + 50050505050542.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505050542).

Almost surely, 2^{100101010101083} is an apocalyptic number.

100101010101083 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010101083 is an equidigital number, since it uses as much as digits as its factorization.

100101010101083 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 17.

Adding to 100101010101083 its reverse (380101010101001), we get a palindrome (480202020202084).

The spelling of 100101010101083 in words is "one hundred trillion, one hundred one billion, ten million, one hundred one thousand, eighty-three".