103010231221200 has 180 divisors, whose sum is σ = 357768833943820. Its totient is φ = 27446747996160.

The previous prime is 103010231221193. The next prime is 103010231221213. The reversal of 103010231221200 is 2122132010301.

103010231221200 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 10 + 231 + 221 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17459126841744 + 85551104379456 = 4178412^2 + 9249384^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×103010231221200² (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 (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7427905 + ... + 16161504.

Almost surely, 2^{103010231221200} is an apocalyptic number.

103010231221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010231221200 is an abundant number, since it is smaller than the sum of its proper divisors (254758602722620).

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

103010231221200 is a wasteful number, since it uses less digits than its factorization.

103010231221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23590646 (or 23590632 counting only the distinct ones).

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

Adding to 103010231221200 its reverse (2122132010301), we get a palindrome (105132363231501).

The spelling of 103010231221200 in words is "one hundred three trillion, ten billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred".