36000000000101 has 2 divisors, whose sum is σ = 36000000000102. Its totient is φ = 36000000000100.

The previous prime is 36000000000053. The next prime is 36000000000103. The reversal of 36000000000101 is 10100000000063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20315437780225 + 15684562219876 = 4507265^2 + 3960374^2 .

It is a cyclic number.

It is not a de Polignac number, because 36000000000101 - 2²² = 35999995805797 is a prime.

Together with 36000000000103, it forms a pair of twin primes.

It is a Chen prime.

36000000000101 is a modest number, since divided by 101 gives 36 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 35999999999992 and 36000000000082.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36000000000103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18000000000050 + 18000000000051.

It is an arithmetic number, because the mean of its divisors is an integer number (18000000000051).

Almost surely, 2^{36000000000101} is an apocalyptic number.

It is an amenable number.

36000000000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36000000000101 is an equidigital number, since it uses as much as digits as its factorization.

36000000000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 36000000000101 its reverse (10100000000063), we get a palindrome (46100000000164).

The spelling of 36000000000101 in words is "thirty-six trillion, one hundred one", and thus it is an aban number.