101200112210 has 16 divisors (see below), whose sum is σ = 182463307992. Its totient is φ = 40412688000.

The previous prime is 101200112197. The next prime is 101200112239. The reversal of 101200112210 is 12211002101.

It can be written as a sum of positive squares in 4 ways, for example, as 65982710641 + 35217401569 = 256871^2 + 187663^2 .

It is a super-2 number, since 2×101200112210² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101200112191 and 101200112200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8413301 + ... + 8425320.

Almost surely, 2^101200112210 is an apocalyptic number.

101200112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101200112210 is a deficient number, since it is larger than the sum of its proper divisors (81263195782).

101200112210 is a wasteful number, since it uses less digits than its factorization.

101200112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16839229.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101200112210 its reverse (12211002101), we get a palindrome (113411114311).

The spelling of 101200112210 in words is "one hundred one billion, two hundred million, one hundred twelve thousand, two hundred ten".