100212002213193 has 36 divisors (see below), whose sum is σ = 159311388281292. Its totient is φ = 60657958408320.

The previous prime is 100212002213189. The next prime is 100212002213237. The reversal of 100212002213193 is 391312200212001.

100212002213193 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 120 + 0 + 221 + 319 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39321026339904 + 60890975873289 = 6270648^2 + 7803267^2 .

It is not a de Polignac number, because 100212002213193 - 2² = 100212002213189 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212002213993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 539953146 + ... + 540138707.

It is an arithmetic number, because the mean of its divisors is an integer number (4425316341147).

Almost surely, 2^{100212002213193} is an apocalyptic number.

100212002213193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100212002213193 is a deficient number, since it is larger than the sum of its proper divisors (59099386068099).

100212002213193 is a wasteful number, since it uses less digits than its factorization.

100212002213193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080091946 (or 1080091930 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 100212002213193 its reverse (391312200212001), we get a palindrome (491524202425194).

The spelling of 100212002213193 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred thirteen thousand, one hundred ninety-three".