100212002213220 has 72 divisors (see below), whose sum is σ = 304013074659840. Its totient is φ = 26719977034560.

The previous prime is 100212002213189. The next prime is 100212002213237. The reversal of 100212002213220 is 22312200212001.

100212002213220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 120 + 0 + 221 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212002213193 and 100212002213202.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32082180 + ... + 35066939.

It is an arithmetic number, because the mean of its divisors is an integer number (4222403814720).

Almost surely, 2^{100212002213220} is an apocalyptic number.

100212002213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002213220 is an abundant number, since it is smaller than the sum of its proper divisors (203801072446620).

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

100212002213220 is a wasteful number, since it uses less digits than its factorization.

100212002213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67157425 (or 67157420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100212002213220 its reverse (22312200212001), we get a palindrome (122524202425221).

The spelling of 100212002213220 in words is "one hundred trillion, two hundred twelve billion, two million, two hundred thirteen thousand, two hundred twenty".