1002101121001 has 8 divisors (see below), whose sum is σ = 1038965157000. Its totient is φ = 965391006720.

The previous prime is 1002101120987. The next prime is 1002101121029. The reversal of 1002101121001 is 1001211012001.

It can be written as a sum of positive squares in 4 ways, for example, as 312369210000 + 689731911001 = 558900^2 + 830501^2 .

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 1002101121001 - 2²⁵ = 1002067566569 is a prime.

It is a super-2 number, since 2×1002101121001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002101121061) 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, 38467170 + ... + 38493211.

It is an arithmetic number, because the mean of its divisors is an integer number (129870644625).

Almost surely, 2^{1002101121001} is an apocalyptic number.

It is an amenable number.

1002101121001 is a deficient number, since it is larger than the sum of its proper divisors (36864035999).

1002101121001 is an equidigital number, since it uses as much as digits as its factorization.

1002101121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76960859.

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

Adding to 1002101121001 its reverse (1001211012001), we get a palindrome (2003312133002).

The spelling of 1002101121001 in words is "one trillion, two billion, one hundred one million, one hundred twenty-one thousand, one".