101202002201201 has 24 divisors (see below), whose sum is σ = 111444702768000. Its totient is φ = 91831360808000.

The previous prime is 101202002201171. The next prime is 101202002201231. The reversal of 101202002201201 is 102102200202101.

It is an interprime number because it is at equal distance from previous prime (101202002201171) and next prime (101202002201231).

It is not a de Polignac number, because 101202002201201 - 2¹⁰ = 101202002200177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101202002201231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784745276 + ... + 784874226.

It is an arithmetic number, because the mean of its divisors is an integer number (4643529282000).

Almost surely, 2^{101202002201201} is an apocalyptic number.

101202002201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202002201201 is a deficient number, since it is larger than the sum of its proper divisors (10242700566799).

101202002201201 is a wasteful number, since it uses less digits than its factorization.

101202002201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140941 (or 140930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202002201201 its reverse (102102200202101), we get a palindrome (203304202403302).

The spelling of 101202002201201 in words is "one hundred one trillion, two hundred two billion, two million, two hundred one thousand, two hundred one".