102223012310100 has 108 divisors (see below), whose sum is σ = 349540748793600. Its totient is φ = 24781336315200.

The previous prime is 102223012310071. The next prime is 102223012310113. The reversal of 102223012310100 is 1013210322201.

102223012310100 is a `hidden beast` number, since 1 + 0 + 22 + 230 + 1 + 2 + 310 + 100 = 666.

It is a super-2 number, since 2×102223012310100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5162768500 + ... + 5162788299.

Almost surely, 2^{102223012310100} is an apocalyptic number.

102223012310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223012310100 is an abundant number, since it is smaller than the sum of its proper divisors (247317736483500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102223012310100 is a wasteful number, since it uses less digits than its factorization.

102223012310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325556830 (or 10325556820 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102223012310100 its reverse (1013210322201), we get a palindrome (103236222632301).

The spelling of 102223012310100 in words is "one hundred two trillion, two hundred twenty-three billion, twelve million, three hundred ten thousand, one hundred".