100201220122212 has 72 divisors (see below), whose sum is σ = 276314003390880. Its totient is φ = 30363835998720.

The previous prime is 100201220122169. The next prime is 100201220122231. The reversal of 100201220122212 is 212221022102001.

It is a happy number.

100201220122212 is a `hidden beast` number, since 10 + 0 + 201 + 220 + 1 + 22 + 212 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82341748 + ... + 83549780.

It is an arithmetic number, because the mean of its divisors is an integer number (3837694491540).

Almost surely, 2^{100201220122212} is an apocalyptic number.

100201220122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201220122212 is an abundant number, since it is smaller than the sum of its proper divisors (176112783268668).

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

100201220122212 is a wasteful number, since it uses less digits than its factorization.

100201220122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417513 (or 1417508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100201220122212 its reverse (212221022102001), we get a palindrome (312422242224213).

The spelling of 100201220122212 in words is "one hundred trillion, two hundred one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twelve".