10220112210121 has 16 divisors (see below), whose sum is σ = 11195415486720. Its totient is φ = 9252585175680.

The previous prime is 10220112210047. The next prime is 10220112210157. The reversal of 10220112210121 is 12101221102201.

It is not a de Polignac number, because 10220112210121 - 2¹¹ = 10220112208073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220112210095 and 10220112210104.

It is not an unprimeable number, because it can be changed into a prime (10220112210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797920 + ... + 4590958.

It is an arithmetic number, because the mean of its divisors is an integer number (699713467920).

Almost surely, 2^{10220112210121} is an apocalyptic number.

10220112210121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220112210121 is a deficient number, since it is larger than the sum of its proper divisors (975303276599).

10220112210121 is a wasteful number, since it uses less digits than its factorization.

10220112210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794064.

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

Adding to 10220112210121 its reverse (12101221102201), we get a palindrome (22321333312322).

The spelling of 10220112210121 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, two hundred ten thousand, one hundred twenty-one".