103101111130100 has 36 divisors (see below), whose sum is σ = 226243224780300. Its totient is φ = 40777068668160.

The previous prime is 103101111130097. The next prime is 103101111130231. The reversal of 103101111130100 is 1031111101301.

It can be written as a sum of positive squares in 6 ways, for example, as 3667546727056 + 99433564403044 = 1915084^2 + 9971638^2 .

It is a super-2 number, since 2×103101111130100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5792188355 + ... + 5792206154.

It is an arithmetic number, because the mean of its divisors is an integer number (6284534021675).

Almost surely, 2^{103101111130100} is an apocalyptic number.

103101111130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101111130100 is an abundant number, since it is smaller than the sum of its proper divisors (123142113650200).

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

103101111130100 is a wasteful number, since it uses less digits than its factorization.

103101111130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584394612 (or 11584394605 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 103101111130100 its reverse (1031111101301), we get a palindrome (104132222231401).

The spelling of 103101111130100 in words is "one hundred three trillion, one hundred one billion, one hundred eleven million, one hundred thirty thousand, one hundred".