101001000201201 has 12 divisors (see below), whose sum is σ = 154472117955012. Its totient is φ = 63373176596736.

The previous prime is 101001000201191. The next prime is 101001000201287. The reversal of 101001000201201 is 102102000100101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29257118730225 + 71743881470976 = 5408985^2 + 8470176^2 .

It is not a de Polignac number, because 101001000201201 - 2²⁷ = 101000865983473 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 (101001000201301) 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, 330068627956 + ... + 330068628261.

It is an arithmetic number, because the mean of its divisors is an integer number (12872676496251).

Almost surely, 2^{101001000201201} is an apocalyptic number.

It is an amenable number.

101001000201201 is a deficient number, since it is larger than the sum of its proper divisors (53471117753811).

101001000201201 is a wasteful number, since it uses less digits than its factorization.

101001000201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660137256240 (or 660137256237 counting only the distinct ones).

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

Adding to 101001000201201 its reverse (102102000100101), we get a palindrome (203103000301302).

The spelling of 101001000201201 in words is "one hundred one trillion, one billion, two hundred one thousand, two hundred one".