101200121201212 has 48 divisors (see below), whose sum is σ = 194681500191360. Its totient is φ = 45647682724800.

The previous prime is 101200121201051. The next prime is 101200121201213. The reversal of 101200121201212 is 212102121002101.

It is a super-2 number, since 2×101200121201212² (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 (101200121201213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9150798 + ... + 16915594.

It is an arithmetic number, because the mean of its divisors is an integer number (4055864587320).

Almost surely, 2^{101200121201212} is an apocalyptic number.

It is an amenable number.

101200121201212 is a deficient number, since it is larger than the sum of its proper divisors (93481378990148).

101200121201212 is a wasteful number, since it uses less digits than its factorization.

101200121201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767082 (or 7767080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101200121201212 its reverse (212102121002101), we get a palindrome (313302242203313).

The spelling of 101200121201212 in words is "one hundred one trillion, two hundred billion, one hundred twenty-one million, two hundred one thousand, two hundred twelve".