103012121300000 has 576 divisors, whose sum is σ = 281618246278656. Its totient is φ = 36772800000000.

The previous prime is 103012121299991. The next prime is 103012121300227. The reversal of 103012121300000 is 3121210301.

It is a super-2 number, since 2×103012121300000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43816298825 + ... + 43816301175.

It is an arithmetic number, because the mean of its divisors is an integer number (488920566456).

Almost surely, 2^{103012121300000} is an apocalyptic number.

103012121300000 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 103012121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140809123139328).

103012121300000 is an abundant number, since it is smaller than the sum of its proper divisors (178606124978656).

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

103012121300000 is an equidigital number, since it uses as much as digits as its factorization.

103012121300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103012121300000 its reverse (3121210301), we get a palindrome (103015242510301).

The spelling of 103012121300000 in words is "one hundred three trillion, twelve billion, one hundred twenty-one million, three hundred thousand".