101200000201120 has 48 divisors (see below), whose sum is σ = 246797419857408. Its totient is φ = 39174193624320.

The previous prime is 101200000201109. The next prime is 101200000201141. The reversal of 101200000201120 is 21102000002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101200000201097 and 101200000201106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10201607964 + ... + 10201617883.

It is an arithmetic number, because the mean of its divisors is an integer number (5141612913696).

Almost surely, 2^{101200000201120} is an apocalyptic number.

101200000201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200000201120 is an abundant number, since it is smaller than the sum of its proper divisors (145597419656288).

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

101200000201120 is a wasteful number, since it uses less digits than its factorization.

101200000201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20403225893 (or 20403225885 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200000201120 its reverse (21102000002101), we get a palindrome (122302000203221).

The spelling of 101200000201120 in words is "one hundred one trillion, two hundred billion, two hundred one thousand, one hundred twenty".