100211111111000 has 64 divisors (see below), whose sum is σ = 234497835449280. Its totient is φ = 40083788812800.

The previous prime is 100211111110993. The next prime is 100211111111003. The reversal of 100211111111000 is 111111112001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211111111003) 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 15 ways as a sum of consecutive naturals, for example, 62819264 + ... + 64394736.

It is an arithmetic number, because the mean of its divisors is an integer number (3664028678895).

Almost surely, 2^{100211111111000} is an apocalyptic number.

100211111111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211111111000 is an abundant number, since it is smaller than the sum of its proper divisors (134286724338280).

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

100211111111000 is a wasteful number, since it uses less digits than its factorization.

100211111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639101 (or 1639087 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100211111111000 its reverse (111111112001), we get a palindrome (100322222223001).

The spelling of 100211111111000 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand".