10022121012211 has 16 divisors (see below), whose sum is σ = 12501093496320. Its totient is φ = 7805706454080.

The previous prime is 10022121012203. The next prime is 10022121012217. The reversal of 10022121012211 is 11221012122001.

It is a cyclic number.

It is not a de Polignac number, because 10022121012211 - 2³ = 10022121012203 is a prime.

It is a super-2 number, since 2×10022121012211² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022121012217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30992191 + ... + 31313896.

It is an arithmetic number, because the mean of its divisors is an integer number (781318343520).

Almost surely, 2^{10022121012211} is an apocalyptic number.

10022121012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022121012211 is a deficient number, since it is larger than the sum of its proper divisors (2478972484109).

10022121012211 is a wasteful number, since it uses less digits than its factorization.

10022121012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62308194.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10022121012211 its reverse (11221012122001), we get a palindrome (21243133134212).

The spelling of 10022121012211 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred eleven".