10202220211617 has 12 divisors (see below), whose sum is σ = 16841760349440. Its totient is φ = 5829840120888.

The previous prime is 10202220211591. The next prime is 10202220211643. The reversal of 10202220211617 is 71611202220201.

It is a happy number.

10202220211617 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 2 + 20 + 21 + 1 + 617 = 666.

10202220211617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10202220211591) and next prime (10202220211643).

It is not a de Polignac number, because 10202220211617 - 2⁸ = 10202220211361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202220211657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80970001617 + ... + 80970001742.

It is an arithmetic number, because the mean of its divisors is an integer number (1403480029120).

Almost surely, 2^{10202220211617} is an apocalyptic number.

It is an amenable number.

10202220211617 is a deficient number, since it is larger than the sum of its proper divisors (6639540137823).

10202220211617 is a wasteful number, since it uses less digits than its factorization.

10202220211617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161940003372 (or 161940003369 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10202220211617 its reverse (71611202220201), we get a palindrome (81813422431818).

The spelling of 10202220211617 in words is "ten trillion, two hundred two billion, two hundred twenty million, two hundred eleven thousand, six hundred seventeen".