103010221122300 has 576 divisors, whose sum is σ = 356620174848000. Its totient is φ = 25414140026880.

The previous prime is 103010221122299. The next prime is 103010221122307. The reversal of 103010221122300 is 3221122010301.

103010221122300 is a `hidden beast` number, since 1 + 0 + 30 + 102 + 211 + 22 + 300 = 666.

It is a super-2 number, since 2×103010221122300² (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 not an unprimeable number, because it can be changed into a prime (103010221122307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1473033736 + ... + 1473103664.

It is an arithmetic number, because the mean of its divisors is an integer number (619132248000).

Almost surely, 2^{103010221122300} is an apocalyptic number.

103010221122300 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 103010221122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178310087424000).

103010221122300 is an abundant number, since it is smaller than the sum of its proper divisors (253609953725700).

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

103010221122300 is a wasteful number, since it uses less digits than its factorization.

103010221122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70515 (or 70502 counting only the distinct ones).

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

Adding to 103010221122300 its reverse (3221122010301), we get a palindrome (106231343132601).

The spelling of 103010221122300 in words is "one hundred three trillion, ten billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred".