10000122022121 has 16 divisors (see below), whose sum is σ = 12467871433728. Its totient is φ = 7792186102800.

The previous prime is 10000122022061. The next prime is 10000122022141. The reversal of 10000122022121 is 12122022100001.

It is not a de Polignac number, because 10000122022121 - 2⁶ = 10000122022057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000122022096 and 10000122022105.

It is not an unprimeable number, because it can be changed into a prime (10000122022141) 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, 4389206 + ... + 6266208.

It is an arithmetic number, because the mean of its divisors is an integer number (779241964608).

Almost surely, 2^{10000122022121} is an apocalyptic number.

10000122022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000122022121 is a deficient number, since it is larger than the sum of its proper divisors (2467749411607).

10000122022121 is a wasteful number, since it uses less digits than its factorization.

10000122022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946212.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10000122022121 its reverse (12122022100001), we get a palindrome (22122144122122).

It can be divided in two parts, 100001 and 22022121, that added together give a palindrome (22122122).

The spelling of 10000122022121 in words is "ten trillion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-one".