101100121101200 has 120 divisors (see below), whose sum is σ = 263976912599400. Its totient is φ = 36986804858880.

The previous prime is 101100121101179. The next prime is 101100121101247. The reversal of 101100121101200 is 2101121001101.

It can be written as a sum of positive squares in 12 ways, for example, as 54342314732176 + 46757806369024 = 7371724^2 + 6837968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88618205 + ... + 89751804.

It is an arithmetic number, because the mean of its divisors is an integer number (2199807604995).

Almost surely, 2^{101100121101200} is an apocalyptic number.

101100121101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100121101200 is an abundant number, since it is smaller than the sum of its proper divisors (162876791498200).

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

101100121101200 is a wasteful number, since it uses less digits than its factorization.

101100121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178370149 (or 178370138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100121101200 its reverse (2101121001101), we get a palindrome (103201242102301).

The spelling of 101100121101200 in words is "one hundred one trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, two hundred".