22002112102121 has 16 divisors (see below), whose sum is σ = 22304664690000. Its totient is φ = 21701422354176.

The previous prime is 22002112102097. The next prime is 22002112102123. The reversal of 22002112102121 is 12120121120022.

It can be written as a sum of positive squares in 8 ways, for example, as 3400099972096 + 18602012130025 = 1843936^2 + 4313005^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002112102121 - 2¹⁰ = 22002112101097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22002112102121.

It is not an unprimeable number, because it can be changed into a prime (22002112102123) 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, 155411315 + ... + 155552823.

It is an arithmetic number, because the mean of its divisors is an integer number (1394041543125).

Almost surely, 2^{22002112102121} is an apocalyptic number.

It is an amenable number.

22002112102121 is a deficient number, since it is larger than the sum of its proper divisors (302552587879).

22002112102121 is a wasteful number, since it uses less digits than its factorization.

22002112102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148076.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22002112102121 its reverse (12120121120022), we get a palindrome (34122233222143).

The spelling of 22002112102121 in words is "twenty-two trillion, two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".