10021222121121 has 6 divisors (see below), whose sum is σ = 14475098619410. Its totient is φ = 6680814747408.

The previous prime is 10021222121083. The next prime is 10021222121153. The reversal of 10021222121121 is 12112122212001.

10021222121121 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 221 + 211 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6035964512400 + 3985257608721 = 2456820^2 + 1996311^2 .

It is not a de Polignac number, because 10021222121121 - 2¹³ = 10021222112929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10021222121094 and 10021222121103.

It is not an unprimeable number, because it can be changed into a prime (10021222121021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 556734562276 + ... + 556734562293.

Almost surely, 2^{10021222121121} is an apocalyptic number.

It is an amenable number.

10021222121121 is a deficient number, since it is larger than the sum of its proper divisors (4453876498289).

10021222121121 is a wasteful number, since it uses less digits than its factorization.

10021222121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113469124575 (or 1113469124572 counting only the distinct ones).

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

Adding to 10021222121121 its reverse (12112122212001), we get a palindrome (22133344333122).

The spelling of 10021222121121 in words is "ten trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".