101200122112 has 36 divisors (see below), whose sum is σ = 202217386140. Its totient is φ = 50546843648.

The previous prime is 101200122097. The next prime is 101200122131. The reversal of 101200122112 is 211221002101.

It can be written as a sum of positive squares in 2 ways, for example, as 30393040896 + 70807081216 = 174336^2 + 266096^2 .

It is a super-2 number, since 2×101200122112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200122092 and 101200122101.

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, 36564 + ... + 451372.

It is an arithmetic number, because the mean of its divisors is an integer number (5617149615).

Almost surely, 2^101200122112 is an apocalyptic number.

It is an amenable number.

101200122112 is a deficient number, since it is larger than the sum of its proper divisors (101017264028).

101200122112 is an frugal number, since it uses more digits than its factorization.

101200122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415778 (or 415764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200122112 its reverse (211221002101), we get a palindrome (312421124213).

The spelling of 101200122112 in words is "one hundred one billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".