101011323100103 has 12 divisors (see below), whose sum is σ = 109640173121640. Its totient is φ = 93018688510176.

The previous prime is 101011323100091. The next prime is 101011323100109. The reversal of 101011323100103 is 301001323110101.

It is not a de Polignac number, because 101011323100103 - 2¹⁴ = 101011323083719 is a prime.

It is a super-2 number, since 2×101011323100103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011323100109) 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 in 11 ways as a sum of consecutive naturals, for example, 713175176 + ... + 713316797.

It is an arithmetic number, because the mean of its divisors is an integer number (9136681093470).

Almost surely, 2^{101011323100103} is an apocalyptic number.

101011323100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101011323100103 is a deficient number, since it is larger than the sum of its proper divisors (8628850021537).

101011323100103 is a wasteful number, since it uses less digits than its factorization.

101011323100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426492418 (or 1426492405 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101011323100103 its reverse (301001323110101), we get a palindrome (402012646210204).

The spelling of 101011323100103 in words is "one hundred one trillion, eleven billion, three hundred twenty-three million, one hundred thousand, one hundred three".