101543365032101 has 2 divisors, whose sum is σ = 101543365032102. Its totient is φ = 101543365032100.

The previous prime is 101543365032089. The next prime is 101543365032113. The reversal of 101543365032101 is 101230563345101.

It is a balanced prime because it is at equal distance from previous prime (101543365032089) and next prime (101543365032113).

It can be written as a sum of positive squares in only one way, i.e., 80770644588001 + 20772720444100 = 8987249^2 + 4557710^2 .

It is a cyclic number.

It is not a de Polignac number, because 101543365032101 - 2⁶ = 101543365032037 is a prime.

It is a super-2 number, since 2×101543365032101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101543365022101) 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, 50771682516050 + 50771682516051.

It is an arithmetic number, because the mean of its divisors is an integer number (50771682516051).

Almost surely, 2^{101543365032101} is an apocalyptic number.

It is an amenable number.

101543365032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101543365032101 is an equidigital number, since it uses as much as digits as its factorization.

101543365032101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 101543365032101 in words is "one hundred one trillion, five hundred forty-three billion, three hundred sixty-five million, thirty-two thousand, one hundred one".