103133222100 has 108 divisors (see below), whose sum is σ = 324225552924. Its totient is φ = 27420503040.

The previous prime is 103133222089. The next prime is 103133222149. The reversal of 103133222100 is 1222331301.

103133222100 is a `hidden beast` number, since 10 + 313 + 322 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2538950544 + 100594271556 = 50388^2 + 317166^2 .

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133282 + ... + 473318.

It is an arithmetic number, because the mean of its divisors is an integer number (3002088453).

Almost surely, 2^103133222100 is an apocalyptic number.

103133222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103133222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162112776462).

103133222100 is an abundant number, since it is smaller than the sum of its proper divisors (221092330824).

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

103133222100 is a wasteful number, since it uses less digits than its factorization.

103133222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340394 (or 340384 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103133222100 its reverse (1222331301), we get a palindrome (104355553401).

The spelling of 103133222100 in words is "one hundred three billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred".