10103199837120 has 448 divisors, whose sum is σ = 39707106768000. Its totient is φ = 2401184120832.

The previous prime is 10103199837119. The next prime is 10103199837127. The reversal of 10103199837120 is 2173899130101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103199837127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706416 + ... + 4808144.

It is an arithmetic number, because the mean of its divisors is an integer number (88631934750).

Almost surely, 2^{10103199837120} is an apocalyptic number.

10103199837120 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 10103199837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853553384000).

10103199837120 is an abundant number, since it is smaller than the sum of its proper divisors (29603906930880).

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

10103199837120 is a wasteful number, since it uses less digits than its factorization.

10103199837120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101797 (or 3101781 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10103199837120 in words is "ten trillion, one hundred three billion, one hundred ninety-nine million, eight hundred thirty-seven thousand, one hundred twenty".