100212121022000 has 80 divisors (see below), whose sum is σ = 260952363208992. Its totient is φ = 37001398521600.

The previous prime is 100212121021997. The next prime is 100212121022009. The reversal of 100212121022000 is 220121212001.

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

It is not an unprimeable number, because it can be changed into a prime (100212121022009) 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, 1927130174 + ... + 1927182173.

Almost surely, 2^{100212121022000} is an apocalyptic number.

100212121022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212121022000 is an abundant number, since it is smaller than the sum of its proper divisors (160740242186992).

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

100212121022000 is a wasteful number, since it uses less digits than its factorization.

100212121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854312383 (or 3854312367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212121022000 its reverse (220121212001), we get a palindrome (100432242234001).

The spelling of 100212121022000 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, twenty-two thousand".