102100213313103 has 32 divisors (see below), whose sum is σ = 141129590103040. Its totient is φ = 65611212226560.

The previous prime is 102100213313093. The next prime is 102100213313129. The reversal of 102100213313103 is 301313312001201.

It is a happy number.

It is not a de Polignac number, because 102100213313103 - 2¹⁰ = 102100213312079 is a prime.

It is a super-2 number, since 2×102100213313103² (a number of 29 digits) contains 22 as substring.

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 102100213313103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100213313173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19162863 + ... + 23904303.

It is an arithmetic number, because the mean of its divisors is an integer number (4410299690720).

Almost surely, 2^{102100213313103} is an apocalyptic number.

102100213313103 is a deficient number, since it is larger than the sum of its proper divisors (39029376789937).

102100213313103 is a wasteful number, since it uses less digits than its factorization.

102100213313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743679.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102100213313103 its reverse (301313312001201), we get a palindrome (403413525314304).

The spelling of 102100213313103 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, three hundred thirteen thousand, one hundred three".