100331311012209 has 12 divisors (see below), whose sum is σ = 146417056392516. Its totient is φ = 66197978399232.

The previous prime is 100331311012157. The next prime is 100331311012277. The reversal of 100331311012209 is 902210113133001.

100331311012209 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 3 + 1 + 101 + 220 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75063648389184 + 25267662623025 = 8663928^2 + 5026695^2 .

It is not a de Polignac number, because 100331311012209 - 2⁹ = 100331311011697 is a prime.

It is a super-2 number, since 2×100331311012209² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100331311712209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57463522044 + ... + 57463523789.

It is an arithmetic number, because the mean of its divisors is an integer number (12201421366043).

Almost surely, 2^{100331311012209} is an apocalyptic number.

It is an amenable number.

100331311012209 is a deficient number, since it is larger than the sum of its proper divisors (46085745380307).

100331311012209 is a wasteful number, since it uses less digits than its factorization.

100331311012209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114927045936 (or 114927045933 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 100331311012209 in words is "one hundred trillion, three hundred thirty-one billion, three hundred eleven million, twelve thousand, two hundred nine".