1211201053101 has 20 divisors (see below), whose sum is σ = 1948503880092. Its totient is φ = 745354493568.

The previous prime is 1211201053079. The next prime is 1211201053123. The reversal of 1211201053101 is 1013501021121.

1211201053101 is a `hidden beast` number, since 1 + 2 + 1 + 120 + 10 + 531 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1211201053079) and next prime (1211201053123).

It can be written as a sum of positive squares in 2 ways, for example, as 63890145225 + 1147310907876 = 252765^2 + 1071126^2 .

It is not a de Polignac number, because 1211201053101 - 2¹⁵ = 1211201020333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211201053201) 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 19 ways as a sum of consecutive naturals, for example, 575118156 + ... + 575120261.

Almost surely, 2^{1211201053101} is an apocalyptic number.

It is an amenable number.

1211201053101 is a deficient number, since it is larger than the sum of its proper divisors (737302826991).

1211201053101 is a wasteful number, since it uses less digits than its factorization.

1211201053101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150238442 (or 1150238433 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 1211201053101 its reverse (1013501021121), we get a palindrome (2224702074222).

The spelling of 1211201053101 in words is "one trillion, two hundred eleven billion, two hundred one million, fifty-three thousand, one hundred one".