100201021012009 has 4 divisors (see below), whose sum is σ = 100201048703316. Its totient is φ = 100200993320704.

The previous prime is 100201021011961. The next prime is 100201021012063. The reversal of 100201021012009 is 900210120102001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11843784590400 + 88357236421609 = 3441480^2 + 9399853^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201021012009 - 2¹⁷ = 100201020880937 is a prime.

It is a super-2 number, since 2×100201021012009² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201021012709) 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 in 3 ways as a sum of consecutive naturals, for example, 7425604 + ... + 15985669.

It is an arithmetic number, because the mean of its divisors is an integer number (25050262175829).

Almost surely, 2^{100201021012009} is an apocalyptic number.

It is an amenable number.

100201021012009 is a deficient number, since it is larger than the sum of its proper divisors (27691307).

100201021012009 is an equidigital number, since it uses as much as digits as its factorization.

100201021012009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27691306.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 100201021012009 in words is "one hundred trillion, two hundred one billion, twenty-one million, twelve thousand, nine".