100022121211200 has 168 divisors, whose sum is σ = 328168155000960. Its totient is φ = 26671570329600.

The previous prime is 100022121211183. The next prime is 100022121211211. The reversal of 100022121211200 is 2112121220001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100022121211200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133021896 + ... + 133771704.

Almost surely, 2^{100022121211200} is an apocalyptic number.

100022121211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022121211200 is an abundant number, since it is smaller than the sum of its proper divisors (228146033789760).

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

100022121211200 is a wasteful number, since it uses less digits than its factorization.

100022121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777625 (or 777610 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100022121211200 its reverse (2112121220001), we get a palindrome (102134242431201).

The spelling of 100022121211200 in words is "one hundred trillion, twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".