102122121112201 has 8 divisors (see below), whose sum is σ = 105590595255264. Its totient is φ = 98700203669280.

The previous prime is 102122121112189. The next prime is 102122121112213. The reversal of 102122121112201 is 102211121221201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102122121112189) and next prime (102122121112213).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102122121112201 - 2²³ = 102122112723593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122121119201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11639170575 + ... + 11639179348.

It is an arithmetic number, because the mean of its divisors is an integer number (13198824406908).

Almost surely, 2^{102122121112201} is an apocalyptic number.

It is an amenable number.

102122121112201 is a deficient number, since it is larger than the sum of its proper divisors (3468474143063).

102122121112201 is a wasteful number, since it uses less digits than its factorization.

102122121112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23278350071.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102122121112201 its reverse (102211121221201), we get a palindrome (204333242333402).

The spelling of 102122121112201 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, two hundred one".