102110222011201 has 8 divisors (see below), whose sum is σ = 104264532274824. Its totient is φ = 99976331750400.

The previous prime is 102110222011151. The next prime is 102110222011211.

102110222011201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2952042858801 + 99158179152400 = 1718151^2 + 9957820^2 .

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 102110222011201 - 2³⁷ = 101972783057729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102110222011211) 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, 5104990600 + ... + 5105010601.

It is an arithmetic number, because the mean of its divisors is an integer number (13033066534353).

Almost surely, 2^{102110222011201} is an apocalyptic number.

It is an amenable number.

102110222011201 is a deficient number, since it is larger than the sum of its proper divisors (2154310263623).

102110222011201 is a wasteful number, since it uses less digits than its factorization.

102110222011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210001411.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 102110222011201 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-two million, eleven thousand, two hundred one".