101200120101 has 6 divisors (see below), whose sum is σ = 146177951270. Its totient is φ = 67466746728.

The previous prime is 101200120069. The next prime is 101200120103. The reversal of 101200120101 is 101021002101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 64643062500 + 36557057601 = 254250^2 + 191199^2 .

It is not a de Polignac number, because 101200120101 - 2⁵ = 101200120069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11244457789 = 101200120101 / (1 + 0 + 1 + 2 + 0 + 0 + 1 + 2 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200120103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5622228886 + ... + 5622228903.

Almost surely, 2^101200120101 is an apocalyptic number.

It is an amenable number.

101200120101 is a deficient number, since it is larger than the sum of its proper divisors (44977831169).

101200120101 is a wasteful number, since it uses less digits than its factorization.

101200120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244457795 (or 11244457792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101200120101 its reverse (101021002101), we get a palindrome (202221122202).

The spelling of 101200120101 in words is "one hundred one billion, two hundred million, one hundred twenty thousand, one hundred one".