10221133133416 has 8 divisors (see below), whose sum is σ = 19164624625170. Its totient is φ = 5110566566704.

The previous prime is 10221133133389. The next prime is 10221133133429. The reversal of 10221133133416 is 61433133112201.

It can be written as a sum of positive squares in only one way, i.e., 9638826785316 + 582306348100 = 3104646^2 + 763090^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 638820820831 + ... + 638820820846.

Almost surely, 2^{10221133133416} is an apocalyptic number.

It is an amenable number.

10221133133416 is a deficient number, since it is larger than the sum of its proper divisors (8943491491754).

10221133133416 is a wasteful number, since it uses less digits than its factorization.

10221133133416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277641641683 (or 1277641641679 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

Adding to 10221133133416 its reverse (61433133112201), we get a palindrome (71654266245617).

The spelling of 10221133133416 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred sixteen".