101066226221664 has 144 divisors (see below), whose sum is σ = 327166953894144. Its totient is φ = 29294558304000.

The previous prime is 101066226221657. The next prime is 101066226221689. The reversal of 101066226221664 is 466122622660101.

101066226221664 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 6 + 2 + 2 + 622 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693453612 + ... + 693599339.

It is an arithmetic number, because the mean of its divisors is an integer number (2271992735376).

Almost surely, 2^{101066226221664} is an apocalyptic number.

It is an amenable number.

101066226221664 is an abundant number, since it is smaller than the sum of its proper divisors (226100727672480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101066226221664 is a wasteful number, since it uses less digits than its factorization.

101066226221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387053001 (or 1387052990 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 101066226221664 its reverse (466122622660101), we get a palindrome (567188848881765).

The spelling of 101066226221664 in words is "one hundred one trillion, sixty-six billion, two hundred twenty-six million, two hundred twenty-one thousand, six hundred sixty-four".