102210000110201 has 8 divisors (see below), whose sum is σ = 104447506989384. Its totient is φ = 99983938279680.

The previous prime is 102210000110189. The next prime is 102210000110213. The reversal of 102210000110201 is 102011000012201.

It is an interprime number because it is at equal distance from previous prime (102210000110189) and next prime (102210000110213).

It can be written as a sum of positive squares in 4 ways, for example, as 13781178714601 + 88428821395600 = 3712301^2 + 9403660^2 .

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 102210000110201 - 2²² = 102209995915897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102210000110501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2861244110 + ... + 2861279831.

It is an arithmetic number, because the mean of its divisors is an integer number (13055938373673).

Almost surely, 2^{102210000110201} is an apocalyptic number.

It is an amenable number.

102210000110201 is a deficient number, since it is larger than the sum of its proper divisors (2237506879183).

102210000110201 is an equidigital number, since it uses as much as digits as its factorization.

102210000110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5722524331.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102210000110201 its reverse (102011000012201), we get a palindrome (204221000122402).

The spelling of 102210000110201 in words is "one hundred two trillion, two hundred ten billion, one hundred ten thousand, two hundred one".