1001102121221 has 8 divisors (see below), whose sum is σ = 1004137992000. Its totient is φ = 998068327200.

The previous prime is 1001102121169. The next prime is 1001102121223. The reversal of 1001102121221 is 1221212011001.

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 1001102121221 - 2³⁸ = 726224214277 is a prime.

It is a super-2 number, since 2×1001102121221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102121196 and 1001102121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449105 + ... + 1484553.

It is an arithmetic number, because the mean of its divisors is an integer number (125517249000).

Almost surely, 2^{1001102121221} is an apocalyptic number.

It is an amenable number.

1001102121221 is a deficient number, since it is larger than the sum of its proper divisors (3035870779).

1001102121221 is a wasteful number, since it uses less digits than its factorization.

1001102121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038379.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001102121221 its reverse (1221212011001), we get a palindrome (2222314132222).

The spelling of 1001102121221 in words is "one trillion, one billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty-one".