102122112222001 has 32 divisors (see below), whose sum is σ = 104536121477760. Its totient is φ = 99740799696384.

The previous prime is 102122112221963. The next prime is 102122112222107. The reversal of 102122112222001 is 100222211221201.

It is not a de Polignac number, because 102122112222001 - 2⁷ = 102122112221873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122112222001.

It is not an unprimeable number, because it can be changed into a prime (102122112252001) 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 31 ways as a sum of consecutive naturals, for example, 5256700650 + ... + 5256720076.

It is an arithmetic number, because the mean of its divisors is an integer number (3266753796180).

Almost surely, 2^{102122112222001} is an apocalyptic number.

It is an amenable number.

102122112222001 is a deficient number, since it is larger than the sum of its proper divisors (2414009255759).

102122112222001 is a wasteful number, since it uses less digits than its factorization.

102122112222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21345.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122112222001 its reverse (100222211221201), we get a palindrome (202344323443202).

The spelling of 102122112222001 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one".