10221402104415 has 48 divisors (see below), whose sum is σ = 17839756159680. Its totient is φ = 5413694745600.

The previous prime is 10221402104383. The next prime is 10221402104429. The reversal of 10221402104415 is 51440120412201.

10221402104415 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 4 + 0 + 210 + 441 + 5 = 666.

It is not a de Polignac number, because 10221402104415 - 2⁵ = 10221402104383 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22696551 + ... + 23142519.

It is an arithmetic number, because the mean of its divisors is an integer number (371661586660).

Almost surely, 2^{10221402104415} is an apocalyptic number.

10221402104415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10221402104415 is a deficient number, since it is larger than the sum of its proper divisors (7618354055265).

10221402104415 is a wasteful number, since it uses less digits than its factorization.

10221402104415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449504 (or 449501 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10221402104415 its reverse (51440120412201), we get a palindrome (61661522516616).

The spelling of 10221402104415 in words is "ten trillion, two hundred twenty-one billion, four hundred two million, one hundred four thousand, four hundred fifteen".