103120102100000 has 288 divisors, whose sum is σ = 264901840947072. Its totient is φ = 39437798400000.

The previous prime is 103120102099921. The next prime is 103120102100017. The reversal of 103120102100000 is 1201021301.

103120102100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103120102100000² (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 47 ways as a sum of consecutive naturals, for example, 6281291792 + ... + 6281308208.

It is an arithmetic number, because the mean of its divisors is an integer number (919798058844).

Almost surely, 2^{103120102100000} is an apocalyptic number.

103120102100000 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 103120102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132450920473536).

103120102100000 is an abundant number, since it is smaller than the sum of its proper divisors (161781738847072).

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

103120102100000 is an equidigital number, since it uses as much as digits as its factorization.

103120102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19206 (or 19178 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 103120102100000 its reverse (1201021301), we get a palindrome (103121303121301).

The spelling of 103120102100000 in words is "one hundred three trillion, one hundred twenty billion, one hundred two million, one hundred thousand".