101132213101 has 2 divisors, whose sum is σ = 101132213102. Its totient is φ = 101132213100.

The previous prime is 101132213059. The next prime is 101132213107. The reversal of 101132213101 is 101312231101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76812122500 + 24320090601 = 277150^2 + 155949^2 .

It is an emirp because it is prime and its reverse (101312231101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101132213101 - 2²⁹ = 100595342189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101132213107) 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, 50566106550 + 50566106551.

It is an arithmetic number, because the mean of its divisors is an integer number (50566106551).

Almost surely, 2^101132213101 is an apocalyptic number.

It is an amenable number.

101132213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132213101 is an equidigital number, since it uses as much as digits as its factorization.

101132213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101132213101 its reverse (101312231101), we get a palindrome (202444444202).

The spelling of 101132213101 in words is "one hundred one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred one".