1020100001083 has 2 divisors, whose sum is σ = 1020100001084. Its totient is φ = 1020100001082.

The previous prime is 1020100001059. The next prime is 1020100001099. The reversal of 1020100001083 is 3801000010201.

It is an a-pointer prime, because the next prime (1020100001099) can be obtained adding 1020100001083 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1020100001083 - 2³³ = 1011510066491 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020100001983) 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, 510050000541 + 510050000542.

It is an arithmetic number, because the mean of its divisors is an integer number (510050000542).

Almost surely, 2^{1020100001083} is an apocalyptic number.

1020100001083 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100001083 is an equidigital number, since it uses as much as digits as its factorization.

1020100001083 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1020100001083 its reverse (3801000010201), we get a palindrome (4821100011284).

The spelling of 1020100001083 in words is "one trillion, twenty billion, one hundred million, one thousand, eighty-three".