102122101221201 has 12 divisors (see below), whose sum is σ = 148030937462928. Its totient is φ = 67840830491544.

The previous prime is 102122101221187. The next prime is 102122101221253.

102122101221201 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 0 + 1 + 221 + 201 = 666.

102122101221201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102122101221201 - 2⁶ = 102122101221137 is a prime.

It is a super-3 number, since 3×102122101221201³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102122101229201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20047524195 + ... + 20047529288.

It is an arithmetic number, because the mean of its divisors is an integer number (12335911455244).

Almost surely, 2^{102122101221201} is an apocalyptic number.

It is an amenable number.

102122101221201 is a deficient number, since it is larger than the sum of its proper divisors (45908836241727).

102122101221201 is a wasteful number, since it uses less digits than its factorization.

102122101221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40095053772 (or 40095053769 counting only the distinct ones).

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

It can be divided in two parts, 10212210 and 1221201, that added together give a palindrome (11433411).

The spelling of 102122101221201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, two hundred one".