10202212112211 has 144 divisors (see below), whose sum is σ = 17624565024768. Its totient is φ = 5569190928000.

The previous prime is 10202212112207. The next prime is 10202212112297. The reversal of 10202212112211 is 11221121220201.

10202212112211 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 211 + 2 + 211 = 666.

It is not a de Polignac number, because 10202212112211 - 2² = 10202212112207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202212112711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 997961446 + ... + 997971668.

It is an arithmetic number, because the mean of its divisors is an integer number (122392812672).

Almost surely, 2^{10202212112211} is an apocalyptic number.

10202212112211 is a deficient number, since it is larger than the sum of its proper divisors (7422352912557).

10202212112211 is a wasteful number, since it uses less digits than its factorization.

10202212112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10202212112211 its reverse (11221121220201), we get a palindrome (21423333332412).

The spelling of 10202212112211 in words is "ten trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand, two hundred eleven".