103012103311100 has 144 divisors (see below), whose sum is σ = 234271130750496. Its totient is φ = 39276835200000.

The previous prime is 103012103311093. The next prime is 103012103311171. The reversal of 103012103311100 is 1113301210301.

It is a super-2 number, since 2×103012103311100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55741514 + ... + 57559886.

It is an arithmetic number, because the mean of its divisors is an integer number (1626882852434).

Almost surely, 2^{103012103311100} is an apocalyptic number.

103012103311100 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 103012103311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117135565375248).

103012103311100 is an abundant number, since it is smaller than the sum of its proper divisors (131259027439396).

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

103012103311100 is a wasteful number, since it uses less digits than its factorization.

103012103311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818736 (or 1818729 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 103012103311100 its reverse (1113301210301), we get a palindrome (104125404521401).

The spelling of 103012103311100 in words is "one hundred three trillion, twelve billion, one hundred three million, three hundred eleven thousand, one hundred".