100111021002121 has 8 divisors (see below), whose sum is σ = 100189160755040. Its totient is φ = 100032895583712.

The previous prime is 100111021002053. The next prime is 100111021002149. The reversal of 100111021002121 is 121200120111001.

It is a happy number.

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 100111021002121 - 2⁹ = 100111021001609 is a prime.

It is a super-2 number, since 2×100111021002121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111021002191) 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, 10410970 + ... + 17567308.

It is an arithmetic number, because the mean of its divisors is an integer number (12523645094380).

Almost surely, 2^{100111021002121} is an apocalyptic number.

It is an amenable number.

100111021002121 is a deficient number, since it is larger than the sum of its proper divisors (78139752919).

100111021002121 is an equidigital number, since it uses as much as digits as its factorization.

100111021002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167255.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111021002121 its reverse (121200120111001), we get a palindrome (221311141113122).

The spelling of 100111021002121 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, two thousand, one hundred twenty-one".