221610101066145 has 48 divisors (see below), whose sum is σ = 422103274250112. Its totient is φ = 106663034676480.

The previous prime is 221610101066141. The next prime is 221610101066147. The reversal of 221610101066145 is 541660101016122.

221610101066145 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 10 + 10 + 10 + 6 + 614 + 5 = 666.

221610101066145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221610101066145 - 2² = 221610101066141 is a prime.

It is a super-2 number, since 2×221610101066145² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221610101066141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1633863477 + ... + 1633999106.

It is an arithmetic number, because the mean of its divisors is an integer number (8793818213544).

Almost surely, 2^{221610101066145} is an apocalyptic number.

It is an amenable number.

221610101066145 is a deficient number, since it is larger than the sum of its proper divisors (200493173183967).

221610101066145 is a wasteful number, since it uses less digits than its factorization.

221610101066145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267862742 (or 3267862739 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 221610101066145 in words is "two hundred twenty-one trillion, six hundred ten billion, one hundred one million, sixty-six thousand, one hundred forty-five".