102102210103 has 32 divisors (see below), whose sum is σ = 112449731328. Its totient is φ = 92319129600.

The previous prime is 102102210073. The next prime is 102102210107. The reversal of 102102210103 is 301012201201.

It is not a de Polignac number, because 102102210103 - 2²⁹ = 101565339191 is a prime.

It is a super-2 number, since 2×102102210103² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27145743 + ... + 27149503.

It is an arithmetic number, because the mean of its divisors is an integer number (3514054104).

Almost surely, 2^102102210103 is an apocalyptic number.

102102210103 is a deficient number, since it is larger than the sum of its proper divisors (10347521225).

102102210103 is a wasteful number, since it uses less digits than its factorization.

102102210103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102102210103 its reverse (301012201201), we get a palindrome (403114411304).

The spelling of 102102210103 in words is "one hundred two billion, one hundred two million, two hundred ten thousand, one hundred three".