102110011102213 has 8 divisors (see below), whose sum is σ = 103918207007736. Its totient is φ = 100306146206400.

The previous prime is 102110011102157. The next prime is 102110011102237. The reversal of 102110011102213 is 312201110011201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8447527170369 + 93662483931844 = 2906463^2 + 9677938^2 .

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 102110011102213 - 2⁹ = 102110011101701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110011108213) 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, 1082704858 + ... + 1082799163.

It is an arithmetic number, because the mean of its divisors is an integer number (12989775875967).

Almost surely, 2^{102110011102213} is an apocalyptic number.

It is an amenable number.

102110011102213 is a deficient number, since it is larger than the sum of its proper divisors (1808195905523).

102110011102213 is an equidigital number, since it uses as much as digits as its factorization.

102110011102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165504855.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102110011102213 its reverse (312201110011201), we get a palindrome (414311121113414).

The spelling of 102110011102213 in words is "one hundred two trillion, one hundred ten billion, eleven million, one hundred two thousand, two hundred thirteen".