101000121201 has 24 divisors (see below), whose sum is σ = 166845417024. Its totient is φ = 57674527200.

The previous prime is 101000121197. The next prime is 101000121293. The reversal of 101000121201 is 102121000101.

It is a happy number.

It is not a de Polignac number, because 101000121201 - 2² = 101000121197 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101000101201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 461026 + ... + 643851.

It is an arithmetic number, because the mean of its divisors is an integer number (6951892376).

Almost surely, 2^101000121201 is an apocalyptic number.

It is an amenable number.

101000121201 is a deficient number, since it is larger than the sum of its proper divisors (65845295823).

101000121201 is a wasteful number, since it uses less digits than its factorization.

101000121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106341 (or 1106338 counting only the distinct ones).

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

Adding to 101000121201 its reverse (102121000101), we get a palindrome (203121121302).

The spelling of 101000121201 in words is "one hundred one billion, one hundred twenty-one thousand, two hundred one".