102110111202201 has 16 divisors (see below), whose sum is σ = 136596639178944. Its totient is φ = 67848763904064.

The previous prime is 102110111202181. The next prime is 102110111202217. The reversal of 102110111202201 is 102202111011201.

It is a happy number.

It is not a de Polignac number, because 102110111202201 - 2¹³ = 102110111194009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102110111202221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32047915 + ... + 35089728.

It is an arithmetic number, because the mean of its divisors is an integer number (8537289948684).

Almost surely, 2^{102110111202201} is an apocalyptic number.

It is an amenable number.

102110111202201 is a deficient number, since it is larger than the sum of its proper divisors (34486527976743).

102110111202201 is a wasteful number, since it uses less digits than its factorization.

102110111202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67139320.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102110111202201 its reverse (102202111011201), we get a palindrome (204312222213402).

The spelling of 102110111202201 in words is "one hundred two trillion, one hundred ten billion, one hundred eleven million, two hundred two thousand, two hundred one".