102021222120201 has 48 divisors (see below), whose sum is σ = 152862552068928. Its totient is φ = 65513317104000.

The previous prime is 102021222120151. The next prime is 102021222120241.

It is a happy number.

102021222120201 is a `hidden beast` number, since 10 + 2 + 0 + 212 + 221 + 20 + 201 = 666.

102021222120201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102021222120201 - 2²² = 102021217925897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102021222120241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305590770 + ... + 305924436.

It is an arithmetic number, because the mean of its divisors is an integer number (3184636501436).

Almost surely, 2^{102021222120201} is an apocalyptic number.

It is an amenable number.

102021222120201 is a deficient number, since it is larger than the sum of its proper divisors (50841329948727).

102021222120201 is a wasteful number, since it uses less digits than its factorization.

102021222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342902 (or 342899 counting only the distinct ones).

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

It can be divided in two parts, 102021 and 222120201, that added together give a palindrome (222222222).

The spelling of 102021222120201 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".