101200121212112 has 20 divisors (see below), whose sum is σ = 211157945221860. Its totient is φ = 46707748251648.

The previous prime is 101200121212111. The next prime is 101200121212117. The reversal of 101200121212112 is 211212121002101.

It can be written as a sum of positive squares in 2 ways, for example, as 14646571943056 + 86553549269056 = 3827084^2 + 9303416^2 .

It is a super-2 number, since 2×101200121212112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200121212111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 243269521937 + ... + 243269522352.

It is an arithmetic number, because the mean of its divisors is an integer number (10557897261093).

Almost surely, 2^{101200121212112} is an apocalyptic number.

It is an amenable number.

101200121212112 is an abundant number, since it is smaller than the sum of its proper divisors (109957824009748).

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

101200121212112 is a wasteful number, since it uses less digits than its factorization.

101200121212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486539044310 (or 486539044304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101200121212112 its reverse (211212121002101), we get a palindrome (312412242214213).

The spelling of 101200121212112 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".