31103212112100 has 216 divisors, whose sum is σ = 97667688867840. Its totient is φ = 8279196157440.

The previous prime is 31103212112057. The next prime is 31103212112111. The reversal of 31103212112100 is 121121230113.

31103212112100 is a `hidden beast` number, since 3 + 110 + 321 + 21 + 1 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1200002941 + ... + 1200028859.

It is an arithmetic number, because the mean of its divisors is an integer number (452165226240).

Almost surely, 2^{31103212112100} is an apocalyptic number.

31103212112100 is a gapful number since it is divisible by the number (30) 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 31103212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833844433920).

31103212112100 is an abundant number, since it is smaller than the sum of its proper divisors (66564476755740).

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

31103212112100 is a wasteful number, since it uses less digits than its factorization.

31103212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28299 (or 28289 counting only the distinct ones).

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

Adding to 31103212112100 its reverse (121121230113), we get a palindrome (31224333342213).

The spelling of 31103212112100 in words is "thirty-one trillion, one hundred three billion, two hundred twelve million, one hundred twelve thousand, one hundred".