1002121110001 has 8 divisors (see below), whose sum is σ = 1108620537408. Its totient is φ = 898187934000.

The previous prime is 1002121109953. The next prime is 1002121110007. The reversal of 1002121110001 is 1000111212001.

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 1002121110001 - 2²⁷ = 1001986892273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002121110001.

It is not an unprimeable number, because it can be changed into a prime (1002121110007) 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 7 ways as a sum of consecutive naturals, for example, 641562030 + ... + 641563591.

It is an arithmetic number, because the mean of its divisors is an integer number (138577567176).

Almost surely, 2^{1002121110001} is an apocalyptic number.

1002121110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002121110001 is a deficient number, since it is larger than the sum of its proper divisors (106499427407).

1002121110001 is a wasteful number, since it uses less digits than its factorization.

1002121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283125703.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002121110001 its reverse (1000111212001), we get a palindrome (2002232322002).

The spelling of 1002121110001 in words is "one trillion, two billion, one hundred twenty-one million, one hundred ten thousand, one".