8223187112100 has 243 divisors, whose sum is σ = 26221326546051. Its totient is φ = 2155525084800.

The previous prime is 8223187112087. The next prime is 8223187112113. The reversal of 8223187112100 is 12117813228.

The square root of 8223187112100 is 2867610.

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

It is an interprime number because it is at equal distance from previous prime (8223187112087) and next prime (8223187112113).

It can be written as a sum of positive squares in 4 ways, for example, as 3787748933796 + 4435438178304 = 1946214^2 + 2106048^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5247725517 + ... + 5247727083.

Almost surely, 2^{8223187112100} is an apocalyptic number.

8223187112100 is the 2867610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223187112100

8223187112100 is an abundant number, since it is smaller than the sum of its proper divisors (17998139433951).

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

8223187112100 is a wasteful number, since it uses less digits than its factorization.

8223187112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Multiplying 8223187112100 by its sum of digits (36), we get a square (296034736035600 = 17205660²).

8223187112100 divided by its sum of digits (36) gives a square (228421864225 = 477935²).

The spelling of 8223187112100 in words is "eight trillion, two hundred twenty-three billion, one hundred eighty-seven million, one hundred twelve thousand, one hundred".