10000101103 has 2 divisors, whose sum is σ = 10000101104. Its totient is φ = 10000101102.

The previous prime is 10000101091. The next prime is 10000101107. The reversal of 10000101103 is 30110100001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101103 - 2¹³ = 10000092911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050551 + 5000050552.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050552).

Almost surely, 2^10000101103 is an apocalyptic number.

10000101103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101103 is an equidigital number, since it uses as much as digits as its factorization.

10000101103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10000101103 its reverse (30110100001), we get a palindrome (40110201104).

The spelling of 10000101103 in words is "ten billion, one hundred one thousand, one hundred three".