102122201100001 has 8 divisors (see below), whose sum is σ = 102159103884320. Its totient is φ = 102085299892512.

The previous prime is 102122201099923. The next prime is 102122201100041. The reversal of 102122201100001 is 100001102221201.

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 102122201100001 - 2¹⁷ = 102122200968929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122201100041) 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 7 ways as a sum of consecutive naturals, for example, 137887186 + ... + 138625828.

It is an arithmetic number, because the mean of its divisors is an integer number (12769887985540).

Almost surely, 2^{102122201100001} is an apocalyptic number.

It is an amenable number.

102122201100001 is a deficient number, since it is larger than the sum of its proper divisors (36902784319).

102122201100001 is an equidigital number, since it uses as much as digits as its factorization.

102122201100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788415.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102122201100001 its reverse (100001102221201), we get a palindrome (202123303321202).

The spelling of 102122201100001 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred one million, one hundred thousand, one".