100012020201001 has 16 divisors (see below), whose sum is σ = 103789396389888. Its totient is φ = 96300890758800.

The previous prime is 100012020200933. The next prime is 100012020201013. The reversal of 100012020201001 is 100102020210001.

It is a cyclic number.

It is not a de Polignac number, because 100012020201001 - 2¹⁵ = 100012020168233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012020204001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29762650 + ... + 32952076.

It is an arithmetic number, because the mean of its divisors is an integer number (6486837274368).

Almost surely, 2^{100012020201001} is an apocalyptic number.

It is an amenable number.

100012020201001 is a deficient number, since it is larger than the sum of its proper divisors (3777376188887).

100012020201001 is a wasteful number, since it uses less digits than its factorization.

100012020201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199812.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100012020201001 its reverse (100102020210001), we get a palindrome (200114040411002).

The spelling of 100012020201001 in words is "one hundred trillion, twelve billion, twenty million, two hundred one thousand, one".