101121121201200 has 120 divisors (see below), whose sum is σ = 323927142129168. Its totient is φ = 26965425546240.

The previous prime is 101121121201063. The next prime is 101121121201213. The reversal of 101121121201200 is 2102121121101.

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 101121121201200.

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, 217271142 + ... + 217736058.

Almost surely, 2^{101121121201200} is an apocalyptic number.

101121121201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121121201200 is an abundant number, since it is smaller than the sum of its proper divisors (222806020927968).

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

101121121201200 is a wasteful number, since it uses less digits than its factorization.

101121121201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646191 (or 646180 counting only the distinct ones).

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

Adding to 101121121201200 its reverse (2102121121101), we get a palindrome (103223242322301).

The spelling of 101121121201200 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, two hundred".