100101001099903 has 2 divisors, whose sum is σ = 100101001099904. Its totient is φ = 100101001099902.

The previous prime is 100101001099861. The next prime is 100101001099937. The reversal of 100101001099903 is 309990100101001.

It is an a-pointer prime, because the next prime (100101001099937) can be obtained adding 100101001099903 to its sum of digits (34).

It is a strong prime.

It is an emirp because it is prime and its reverse (309990100101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101001099903 - 2³⁷ = 99963562146431 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101001099993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500549951 + 50050500549952.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500549952).

Almost surely, 2^{100101001099903} is an apocalyptic number.

100101001099903 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001099903 is an equidigital number, since it uses as much as digits as its factorization.

100101001099903 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 100101001099903 in words is "one hundred trillion, one hundred one billion, one million, ninety-nine thousand, nine hundred three".