1201142004201 has 12 divisors (see below), whose sum is σ = 1735516285828. Its totient is φ = 800515155744.

The previous prime is 1201142004169. The next prime is 1201142004203. The reversal of 1201142004201 is 1024002411021.

1201142004201 is a `hidden beast` number, since 1 + 201 + 1 + 42 + 0 + 0 + 420 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1195794738576 + 5347265625 = 1093524^2 + 73125^2 .

It is not a de Polignac number, because 1201142004201 - 2⁵ = 1201142004169 is a prime.

It is a super-2 number, since 2×1201142004201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1201142004203) 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, 20484130 + ... + 20542683.

Almost surely, 2^{1201142004201} is an apocalyptic number.

It is an amenable number.

1201142004201 is a deficient number, since it is larger than the sum of its proper divisors (534374281627).

1201142004201 is a wasteful number, since it uses less digits than its factorization.

1201142004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41030072 (or 41030069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1201142004201 its reverse (1024002411021), we get a palindrome (2225144415222).

The spelling of 1201142004201 in words is "one trillion, two hundred one billion, one hundred forty-two million, four thousand, two hundred one".