102110222100109 has 16 divisors (see below), whose sum is σ = 104071268438064. Its totient is φ = 100150456806400.

The previous prime is 102110222100079. The next prime is 102110222100113. The reversal of 102110222100109 is 901001222011201.

It can be written as a sum of positive squares in 8 ways, for example, as 11037364996009 + 91072857104100 = 3322253^2 + 9543210^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110222100109 - 2¹⁵ = 102110222067341 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 102110222100109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110222100119) 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 15 ways as a sum of consecutive naturals, for example, 2697527427 + ... + 2697565279.

It is an arithmetic number, because the mean of its divisors is an integer number (6504454277379).

Almost surely, 2^{102110222100109} is an apocalyptic number.

It is an amenable number.

102110222100109 is a deficient number, since it is larger than the sum of its proper divisors (1961046337955).

102110222100109 is a wasteful number, since it uses less digits than its factorization.

102110222100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53408.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 102110222100109 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-two million, one hundred thousand, one hundred nine".