100121303121001 has 8 divisors (see below), whose sum is σ = 102826376092800. Its totient is φ = 97449833540400.

The previous prime is 100121303120999. The next prime is 100121303121017.

It is a happy number.

100121303121001 is nontrivially palindromic in base 10.

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 100121303121001 - 2¹ = 100121303120999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121303121071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8400841761 + ... + 8400853678.

It is an arithmetic number, because the mean of its divisors is an integer number (12853297011600).

Almost surely, 2^{100121303121001} is an apocalyptic number.

It is an amenable number.

100121303121001 is a deficient number, since it is larger than the sum of its proper divisors (2705072971799).

100121303121001 is a wasteful number, since it uses less digits than its factorization.

100121303121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801695599.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 10012130 and 3121001, that added together give a palindrome (13133131).

The spelling of 100121303121001 in words is "one hundred trillion, one hundred twenty-one billion, three hundred three million, one hundred twenty-one thousand, one".