103110011002020 has 192 divisors, whose sum is σ = 315241211577600. Its totient is φ = 24973596426240.

The previous prime is 103110011001973. The next prime is 103110011002081. The reversal of 103110011002020 is 20200110011301.

103110011002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103110011001987 and 103110011002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6934555146 + ... + 6934570014.

It is an arithmetic number, because the mean of its divisors is an integer number (1641881310300).

Almost surely, 2^{103110011002020} is an apocalyptic number.

103110011002020 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 103110011002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157620605788800).

103110011002020 is an abundant number, since it is smaller than the sum of its proper divisors (212131200575580).

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

103110011002020 is a wasteful number, since it uses less digits than its factorization.

103110011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758 (or 23756 counting only the distinct ones).

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

Adding to 103110011002020 its reverse (20200110011301), we get a palindrome (123310121013321).

The spelling of 103110011002020 in words is "one hundred three trillion, one hundred ten billion, eleven million, two thousand, twenty".