10201121001 has 24 divisors (see below), whose sum is σ = 15229662344. Its totient is φ = 6574763520.

The previous prime is 10201120987. The next prime is 10201121011. The reversal of 10201121001 is 10012110201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5431837401 + 4769283600 = 73701^2 + 69060^2 .

It is not a de Polignac number, because 10201121001 - 2¹³ = 10201112809 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45280 + ... + 149841.

Almost surely, 2^10201121001 is an apocalyptic number.

It is an amenable number.

10201121001 is a deficient number, since it is larger than the sum of its proper divisors (5028541343).

10201121001 is a wasteful number, since it uses less digits than its factorization.

10201121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195321 (or 195318 counting only the distinct ones).

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

Adding to 10201121001 its reverse (10012110201), we get a palindrome (20213231202).

The spelling of 10201121001 in words is "ten billion, two hundred one million, one hundred twenty-one thousand, one".