200201100101131 has 2 divisors, whose sum is σ = 200201100101132. Its totient is φ = 200201100101130.

The previous prime is 200201100101129. The next prime is 200201100101141. The reversal of 200201100101131 is 131101001102002.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 200201100101131 - 2¹ = 200201100101129 is a prime.

It is a super-2 number, since 2×200201100101131² (a number of 29 digits) contains 22 as substring.

Together with 200201100101129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (200201100101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100550050565 + 100100550050566.

It is an arithmetic number, because the mean of its divisors is an integer number (100100550050566).

Almost surely, 2^{200201100101131} is an apocalyptic number.

200201100101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201100101131 is an equidigital number, since it uses as much as digits as its factorization.

200201100101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 200201100101131 its reverse (131101001102002), we get a palindrome (331302101203133).

The spelling of 200201100101131 in words is "two hundred trillion, two hundred one billion, one hundred million, one hundred one thousand, one hundred thirty-one".