100201312001 has 8 divisors (see below), whose sum is σ = 114524503680. Its totient is φ = 85880299968.

The previous prime is 100201311983. The next prime is 100201312027. The reversal of 100201312001 is 100213102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201312001 - 2¹⁰ = 100201310977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201312031) 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 7 ways as a sum of consecutive naturals, for example, 445181 + ... + 631338.

It is an arithmetic number, because the mean of its divisors is an integer number (14315562960).

Almost surely, 2^100201312001 is an apocalyptic number.

It is an amenable number.

100201312001 is a deficient number, since it is larger than the sum of its proper divisors (14323191679).

100201312001 is a wasteful number, since it uses less digits than its factorization.

100201312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089823.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100201312001 its reverse (100213102001), we get a palindrome (200414414002).

The spelling of 100201312001 in words is "one hundred billion, two hundred one million, three hundred twelve thousand, one".