10103131222200 has 1152 divisors, whose sum is σ = 37987646224320. Its totient is φ = 2395201536000.

The previous prime is 10103131222181. The next prime is 10103131222201. The reversal of 10103131222200 is 222213130101.

10103131222200 is a `hidden beast` number, since 1 + 0 + 10 + 313 + 122 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103131222201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6060665767 + ... + 6060667433.

Almost surely, 2^{10103131222200} is an apocalyptic number.

10103131222200 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 10103131222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993823112160).

10103131222200 is an abundant number, since it is smaller than the sum of its proper divisors (27884515002120).

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

10103131222200 is a wasteful number, since it uses less digits than its factorization.

10103131222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1885 counting only the distinct ones).

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

Adding to 10103131222200 its reverse (222213130101), we get a palindrome (10325344352301).

The spelling of 10103131222200 in words is "ten trillion, one hundred three billion, one hundred thirty-one million, two hundred twenty-two thousand, two hundred".