1003120100010 has 192 divisors, whose sum is σ = 3018218112000. Its totient is φ = 226409250816.

The previous prime is 1003120099963. The next prime is 1003120100011. The reversal of 1003120100010 is 100010213001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1003120099965 and 1003120100001.

It is not an unprimeable number, because it can be changed into a prime (1003120100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27420111 + ... + 27456669.

It is an arithmetic number, because the mean of its divisors is an integer number (15719886000).

Almost surely, 2^{1003120100010} is an apocalyptic number.

1003120100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003120100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509109056000).

1003120100010 is an abundant number, since it is smaller than the sum of its proper divisors (2015098011990).

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

1003120100010 is a wasteful number, since it uses less digits than its factorization.

1003120100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37125 (or 37122 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1003120100010 its reverse (100010213001), we get a palindrome (1103130313011).

The spelling of 1003120100010 in words is "one trillion, three billion, one hundred twenty million, one hundred thousand, ten".