100121121121200 has 120 divisors (see below), whose sum is σ = 327545182814208. Its totient is φ = 26130902519040.

The previous prime is 100121121121183. The next prime is 100121121121207. The reversal of 100121121121200 is 2121121121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 100121121121200.

It is not an unprimeable number, because it can be changed into a prime (100121121121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887542192 + ... + 887654991.

Almost surely, 2^{100121121121200} is an apocalyptic number.

100121121121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121121121200 is an abundant number, since it is smaller than the sum of its proper divisors (227424061693008).

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

100121121121200 is a wasteful number, since it uses less digits than its factorization.

100121121121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775197251 (or 1775197240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121121121200 its reverse (2121121121001), we get a palindrome (102242242242201).

The spelling of 100121121121200 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".