10022211120213 has 12 divisors (see below), whose sum is σ = 14481555528960. Its totient is φ = 6679153300776.

The previous prime is 10022211120209. The next prime is 10022211120239. The reversal of 10022211120213 is 31202111222001.

10022211120213 is a `hidden beast` number, since 100 + 22 + 211 + 120 + 213 = 666.

It is not a de Polignac number, because 10022211120213 - 2² = 10022211120209 is a prime.

It is a super-2 number, since 2×10022211120213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022211120283) 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 11 ways as a sum of consecutive naturals, for example, 193370931 + ... + 193422752.

It is an arithmetic number, because the mean of its divisors is an integer number (1206796294080).

Almost surely, 2^{10022211120213} is an apocalyptic number.

It is an amenable number.

10022211120213 is a deficient number, since it is larger than the sum of its proper divisors (4459344408747).

10022211120213 is a wasteful number, since it uses less digits than its factorization.

10022211120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386796568 (or 386796565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10022211120213 its reverse (31202111222001), we get a palindrome (41224322342214).

The spelling of 10022211120213 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty thousand, two hundred thirteen".