100212212001 has 16 divisors (see below), whose sum is σ = 145843792128. Its totient is φ = 60701101200.

The previous prime is 100212211963. The next prime is 100212212011.

100212212001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100212212001 - 2⁶ = 100212211937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212212011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778651 + ... + 898176.

It is an arithmetic number, because the mean of its divisors is an integer number (9115237008).

Almost surely, 2^100212212001 is an apocalyptic number.

100212212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212212001 is a deficient number, since it is larger than the sum of its proper divisors (45631580127).

100212212001 is a wasteful number, since it uses less digits than its factorization.

100212212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678652.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 100212 and 212001, that added together give a palindrome (312213).

The spelling of 100212212001 in words is "one hundred billion, two hundred twelve million, two hundred twelve thousand, one".