103110002100000 has 3456 divisors, whose sum is σ = 451272876687360. Its totient is φ = 21835008000000.

The previous prime is 103110002099999. The next prime is 103110002100047. The reversal of 103110002100000 is 1200011301.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 632576699919 + ... + 632576700081.

It is an arithmetic number, because the mean of its divisors is an integer number (130576642560).

Almost surely, 2^{103110002100000} is an apocalyptic number.

103110002100000 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 103110002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225636438343680).

103110002100000 is an abundant number, since it is smaller than the sum of its proper divisors (348162874587360).

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

103110002100000 is a wasteful number, since it uses less digits than its factorization.

103110002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 331 counting only the distinct ones).

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

Adding to 103110002100000 its reverse (1200011301), we get a palindrome (103111202111301).

The spelling of 103110002100000 in words is "one hundred three trillion, one hundred ten billion, two million, one hundred thousand".