102222122000121 has 16 divisors (see below), whose sum is σ = 151441584275520. Its totient is φ = 68147449742880.

The previous prime is 102222122000039. The next prime is 102222122000129. The reversal of 102222122000121 is 121000221222201.

It is a happy number.

102222122000121 is a `hidden beast` number, since 10 + 222 + 212 + 200 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 102222122000121 - 2¹³ = 102222121991929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222122000094 and 102222122000103.

It is not an unprimeable number, because it can be changed into a prime (102222122000129) 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, 14567775 + ... + 20412356.

It is an arithmetic number, because the mean of its divisors is an integer number (9465099017220).

Almost surely, 2^{102222122000121} is an apocalyptic number.

It is an amenable number.

102222122000121 is a deficient number, since it is larger than the sum of its proper divisors (49219462275399).

102222122000121 is a wasteful number, since it uses less digits than its factorization.

102222122000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35088373 (or 35088367 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222122000121 its reverse (121000221222201), we get a palindrome (223222343222322).

The spelling of 102222122000121 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.