101101000101103 has 2 divisors, whose sum is σ = 101101000101104. Its totient is φ = 101101000101102.

The previous prime is 101101000101097. The next prime is 101101000101137. The reversal of 101101000101103 is 301101000101101.

It is a weak prime.

It is an emirp because it is prime and its reverse (301101000101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101000101103 - 2²⁹ = 101100463230191 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000101103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101000101163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500050551 + 50550500050552.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500050552).

Almost surely, 2^{101101000101103} is an apocalyptic number.

101101000101103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000101103 is an equidigital number, since it uses as much as digits as its factorization.

101101000101103 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101101000101103 its reverse (301101000101101), we get a palindrome (402202000202204).

The spelling of 101101000101103 in words is "one hundred one trillion, one hundred one billion, one hundred one thousand, one hundred three".