111684948972100 has 243 divisors, whose sum is σ = 288715815999261. Its totient is φ = 37390818628800.

The previous prime is 111684948972089. The next prime is 111684948972187. The reversal of 111684948972100 is 1279849486111.

The square root of 111684948972100 is 10568110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40206581629956 + 71478367342144 = 6340866^2 + 8454488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31810009345 + ... + 31810012855.

Almost surely, 2^{111684948972100} is an apocalyptic number.

111684948972100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111684948972100 is the 10568110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111684948972100

111684948972100 is an abundant number, since it is smaller than the sum of its proper divisors (177030867027161).

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

111684948972100 is an frugal number, since it uses more digits than its factorization.

111684948972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 61.

The spelling of 111684948972100 in words is "one hundred eleven trillion, six hundred eighty-four billion, nine hundred forty-eight million, nine hundred seventy-two thousand, one hundred".