101212011121200 has 120 divisors (see below), whose sum is σ = 370532353125888. Its totient is φ = 23134173968640.

The previous prime is 101212011121129. The next prime is 101212011121303. The reversal of 101212011121200 is 2121110212101.

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 101212011121200.

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, 6024516072 + ... + 6024532871.

Almost surely, 2^{101212011121200} is an apocalyptic number.

101212011121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212011121200 is an abundant number, since it is smaller than the sum of its proper divisors (269320342004688).

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

101212011121200 is a wasteful number, since it uses less digits than its factorization.

101212011121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049048971 (or 12049048960 counting only the distinct ones).

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

Adding to 101212011121200 its reverse (2121110212101), we get a palindrome (103333121333301).

Subtracting from 101212011121200 its reverse (2121110212101), we obtain a palindrome (99090900909099).

The spelling of 101212011121200 in words is "one hundred one trillion, two hundred twelve billion, eleven million, one hundred twenty-one thousand, two hundred".