100011212001 has 20 divisors (see below), whose sum is σ = 150181684224. Its totient is φ = 66325051800.

The previous prime is 100011211991. The next prime is 100011212027. The reversal of 100011212001 is 100212110001.

It is a happy number.

It is not a de Polignac number, because 100011212001 - 2¹⁷ = 100011080929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100011212071) 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 19 ways as a sum of consecutive naturals, for example, 3216745 + ... + 3247686.

Almost surely, 2^100011212001 is an apocalyptic number.

It is an amenable number.

100011212001 is a deficient number, since it is larger than the sum of its proper divisors (50170472223).

100011212001 is an equidigital number, since it uses as much as digits as its factorization.

100011212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464634 (or 6464625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100011212001 its reverse (100212110001), we get a palindrome (200223322002).

The spelling of 100011212001 in words is "one hundred billion, eleven million, two hundred twelve thousand, one".