10021222112121 has 32 divisors (see below), whose sum is σ = 16201108684800. Its totient is φ = 6071520137040.

The previous prime is 10021222112093. The next prime is 10021222112149. The reversal of 10021222112121 is 12121122212001.

10021222112121 is a `hidden beast` number, since 100 + 212 + 221 + 12 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (10021222112093) and next prime (10021222112149).

It is not a de Polignac number, because 10021222112121 - 2⁷ = 10021222111993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021222112094 and 10021222112103.

It is not an unprimeable number, because it can be changed into a prime (10021222112171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4482681 + ... + 6335366.

It is an arithmetic number, because the mean of its divisors is an integer number (506284646400).

Almost surely, 2^{10021222112121} is an apocalyptic number.

10021222112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021222112121 is a deficient number, since it is larger than the sum of its proper divisors (6179886572679).

10021222112121 is a wasteful number, since it uses less digits than its factorization.

10021222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821186 (or 10821180 counting only the distinct ones).

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

Adding to 10021222112121 its reverse (12121122212001), we get a palindrome (22142344324122).

The spelling of 10021222112121 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".