10220012110133 has 48 divisors (see below), whose sum is σ = 12719963496240. Its totient is φ = 8158257709056.

The previous prime is 10220012110109. The next prime is 10220012110141. The reversal of 10220012110133 is 33101121002201.

It can be written as a sum of positive squares in 8 ways, for example, as 626112960529 + 9593899149604 = 791273^2 + 3097402^2 .

It is not a de Polignac number, because 10220012110133 - 2¹⁴ = 10220012093749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220012110163) 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, 808730891 + ... + 808743527.

It is an arithmetic number, because the mean of its divisors is an integer number (264999239505).

Almost surely, 2^{10220012110133} is an apocalyptic number.

It is an amenable number.

10220012110133 is a deficient number, since it is larger than the sum of its proper divisors (2499951386107).

10220012110133 is a wasteful number, since it uses less digits than its factorization.

10220012110133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22774 (or 22767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10220012110133 its reverse (33101121002201), we get a palindrome (43321133112334).

The spelling of 10220012110133 in words is "ten trillion, two hundred twenty billion, twelve million, one hundred ten thousand, one hundred thirty-three".