103100122112031 has 48 divisors (see below), whose sum is σ = 162600152352768. Its totient is φ = 62431340587200.

The previous prime is 103100122112023. The next prime is 103100122112047. The reversal of 103100122112031 is 130211221001301.

103100122112031 is a `hidden beast` number, since 10 + 310 + 0 + 1 + 221 + 120 + 3 + 1 = 666.

It is not a de Polignac number, because 103100122112031 - 2³ = 103100122112023 is a prime.

It is a super-2 number, since 2×103100122112031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103100122111995 and 103100122112013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100122112231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831249801 + ... + 831373821.

It is an arithmetic number, because the mean of its divisors is an integer number (3387503174016).

Almost surely, 2^{103100122112031} is an apocalyptic number.

103100122112031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103100122112031 is a deficient number, since it is larger than the sum of its proper divisors (59500030240737).

103100122112031 is a wasteful number, since it uses less digits than its factorization.

103100122112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131172 (or 131169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103100122112031 its reverse (130211221001301), we get a palindrome (233311343113332).

The spelling of 103100122112031 in words is "one hundred three trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, thirty-one".