101200002201 has 12 divisors (see below), whose sum is σ = 146186229540. Its totient is φ = 67462768800.

The previous prime is 101200002181. The next prime is 101200002209. The reversal of 101200002201 is 102200002101.

It can be written as a sum of positive squares in 2 ways, for example, as 95750019225 + 5449982976 = 309435^2 + 73824^2 .

It is not a de Polignac number, because 101200002201 - 2²¹ = 101197905049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101200002209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155950 + ... + 476151.

It is an arithmetic number, because the mean of its divisors is an integer number (12182185795).

Almost surely, 2^101200002201 is an apocalyptic number.

It is an amenable number.

101200002201 is a deficient number, since it is larger than the sum of its proper divisors (44986227339).

101200002201 is a wasteful number, since it uses less digits than its factorization.

101200002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649896 (or 649893 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200002201 its reverse (102200002101), we get a palindrome (203400004302).

The spelling of 101200002201 in words is "one hundred one billion, two hundred million, two thousand, two hundred one".