102222212102001 has 48 divisors (see below), whose sum is σ = 149319017702400. Its totient is φ = 67384257890400.

The previous prime is 102222212101979. The next prime is 102222212102009. The reversal of 102222212102001 is 100201212222201.

It is a happy number.

102222212102001 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 21 + 0 + 200 + 1 = 666.

It is not a de Polignac number, because 102222212102001 - 2¹⁷ = 102222211970929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102222212102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391063406 + ... + 1391136888.

It is an arithmetic number, because the mean of its divisors is an integer number (3110812868800).

Almost surely, 2^{102222212102001} is an apocalyptic number.

It is an amenable number.

102222212102001 is a deficient number, since it is larger than the sum of its proper divisors (47096805600399).

102222212102001 is a wasteful number, since it uses less digits than its factorization.

102222212102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78506 (or 78503 counting only the distinct ones).

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

Adding to 102222212102001 its reverse (100201212222201), we get a palindrome (202423424324202).

The spelling of 102222212102001 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred two thousand, one".