101200011212112 has 20 divisors (see below), whose sum is σ = 261433362298080. Its totient is φ = 33733337070688.

The previous prime is 101200011212071. The next prime is 101200011212137. The reversal of 101200011212112 is 211212110002101.

It is a happy number.

It is a super-2 number, since 2×101200011212112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200011212091 and 101200011212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1054166783412 + ... + 1054166783507.

It is an arithmetic number, because the mean of its divisors is an integer number (13071668114904).

Almost surely, 2^{101200011212112} is an apocalyptic number.

101200011212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101200011212112 is an abundant number, since it is smaller than the sum of its proper divisors (160233351085968).

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

101200011212112 is a wasteful number, since it uses less digits than its factorization.

101200011212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108333566930 (or 2108333566924 counting only the distinct ones).

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

Adding to 101200011212112 its reverse (211212110002101), we get a palindrome (312412121214213).

The spelling of 101200011212112 in words is "one hundred one trillion, two hundred billion, eleven million, two hundred twelve thousand, one hundred twelve".