100212120022000 has 80 divisors (see below), whose sum is σ = 276929035710912. Its totient is φ = 34358441145600.

The previous prime is 100212120021967. The next prime is 100212120022009. The reversal of 100212120022000 is 220021212001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3578990287 + ... + 3579018286.

Almost surely, 2^{100212120022000} is an apocalyptic number.

100212120022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120022000 is an abundant number, since it is smaller than the sum of its proper divisors (176716915688912).

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

100212120022000 is an equidigital number, since it uses as much as digits as its factorization.

100212120022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158008603 (or 7158008587 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100212120022000 its reverse (220021212001), we get a palindrome (100432141234001).

The spelling of 100212120022000 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, twenty-two thousand".