100212122111001 has 8 divisors (see below), whose sum is σ = 133783811704704. Its totient is φ = 66724256962320.

The previous prime is 100212122110873. The next prime is 100212122111053. The reversal of 100212122111001 is 100111221212001.

It is a happy number.

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

It is not a de Polignac number, because 100212122111001 - 2⁷ = 100212122110873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212122111071) 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 7 ways as a sum of consecutive naturals, for example, 20956108465 + ... + 20956113246.

It is an arithmetic number, because the mean of its divisors is an integer number (16722976463088).

Almost surely, 2^{100212122111001} is an apocalyptic number.

It is an amenable number.

100212122111001 is a deficient number, since it is larger than the sum of its proper divisors (33571689593703).

100212122111001 is an equidigital number, since it uses as much as digits as its factorization.

100212122111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41912222511.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212122111001 its reverse (100111221212001), we get a palindrome (200323343323002).

The spelling of 100212122111001 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, one".