100100222121200 has 120 divisors (see below), whose sum is σ = 275053738862592. Its totient is φ = 34294211976960.

The previous prime is 100100222121131. The next prime is 100100222121203. The reversal of 100100222121200 is 2121222001001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100222121203) 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 23 ways as a sum of consecutive naturals, for example, 9754664 + ... + 17185863.

Almost surely, 2^{100100222121200} is an apocalyptic number.

100100222121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100222121200 is an abundant number, since it is smaller than the sum of its proper divisors (174953516741392).

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

100100222121200 is a wasteful number, since it uses less digits than its factorization.

100100222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26941879 (or 26941868 counting only the distinct ones).

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

Adding to 100100222121200 its reverse (2121222001001), we get a palindrome (102221444122201).

The spelling of 100100222121200 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".