103112130000100 has 72 divisors (see below), whose sum is σ = 241040216266920. Its totient is φ = 38060305351680.

The previous prime is 103112130000091. The next prime is 103112130000161. The reversal of 103112130000100 is 1000031211301.

It can be written as a sum of positive squares in 12 ways, for example, as 74103586422336 + 29008543577764 = 8608344^2 + 5385958^2 .

It is a super-2 number, since 2×103112130000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8186827 + ... + 16530226.

It is an arithmetic number, because the mean of its divisors is an integer number (3347780781485).

Almost surely, 2^{103112130000100} is an apocalyptic number.

103112130000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103112130000100 is an abundant number, since it is smaller than the sum of its proper divisors (137928086266820).

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

103112130000100 is a wasteful number, since it uses less digits than its factorization.

103112130000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24720289 (or 24720282 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 103112130000100 its reverse (1000031211301), we get a palindrome (104112161211401).

The spelling of 103112130000100 in words is "one hundred three trillion, one hundred twelve billion, one hundred thirty million, one hundred", and thus it is an aban number.