100201010101 has 4 divisors (see below), whose sum is σ = 100201645600. Its totient is φ = 100200374604.

The previous prime is 100201010099. The next prime is 100201010113. The reversal of 100201010101 is 101010102001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 100201010101 - 2¹ = 100201010099 is a prime.

It is a Duffinian number.

100201010101 is a modest number, since divided by 1010101 gives 1002 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201010131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117430 + ... + 462808.

It is an arithmetic number, because the mean of its divisors is an integer number (25050411400).

Almost surely, 2^100201010101 is an apocalyptic number.

It is an amenable number.

100201010101 is a deficient number, since it is larger than the sum of its proper divisors (635499).

100201010101 is an equidigital number, since it uses as much as digits as its factorization.

100201010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635498.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201010101 its reverse (101010102001), we get a palindrome (201211112102).

The spelling of 100201010101 in words is "one hundred billion, two hundred one million, ten thousand, one hundred one".