1000102355101 has 2 divisors, whose sum is σ = 1000102355102. Its totient is φ = 1000102355100.

The previous prime is 1000102355059. The next prime is 1000102355123. The reversal of 1000102355101 is 1015532010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899756588025 + 100345767076 = 948555^2 + 316774^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000102355101 - 2⁷ = 1000102354973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000102355401) 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, 500051177550 + 500051177551.

It is an arithmetic number, because the mean of its divisors is an integer number (500051177551).

Almost surely, 2^{1000102355101} is an apocalyptic number.

It is an amenable number.

1000102355101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102355101 is an equidigital number, since it uses as much as digits as its factorization.

1000102355101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1000102355101 its reverse (1015532010001), we get a palindrome (2015634365102).

The spelling of 1000102355101 in words is "one trillion, one hundred two million, three hundred fifty-five thousand, one hundred one".