3502005101221 has 16 divisors (see below), whose sum is σ = 4151165184000. Its totient is φ = 2918788009200.

The previous prime is 3502005101219. The next prime is 3502005101227. The reversal of 3502005101221 is 1221015002053.

It is a cyclic number.

It is not a de Polignac number, because 3502005101221 - 2¹ = 3502005101219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3502005101192 and 3502005101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3502005101227) 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 15 ways as a sum of consecutive naturals, for example, 270251671 + ... + 270264628.

It is an arithmetic number, because the mean of its divisors is an integer number (259447824000).

Almost surely, 2^{3502005101221} is an apocalyptic number.

3502005101221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3502005101221 is a deficient number, since it is larger than the sum of its proper divisors (649160082779).

3502005101221 is a wasteful number, since it uses less digits than its factorization.

3502005101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540516360.

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 3502005101221 in words is "three trillion, five hundred two billion, five million, one hundred one thousand, two hundred twenty-one".