10101001100103 has 6 divisors (see below), whose sum is σ = 14590334922384. Its totient is φ = 6734000733396.

The previous prime is 10101001100089. The next prime is 10101001100107. The reversal of 10101001100103 is 30100110010101.

It is not a de Polignac number, because 10101001100103 - 2¹⁶ = 10101001034567 is a prime.

It is a super-2 number, since 2×10101001100103² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122333455567 = 10101001100103 / (1 + 0 + 1 + 0 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001100107) 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 5 ways as a sum of consecutive naturals, for example, 561166727775 + ... + 561166727792.

It is an arithmetic number, because the mean of its divisors is an integer number (2431722487064).

Almost surely, 2^{10101001100103} is an apocalyptic number.

10101001100103 is a deficient number, since it is larger than the sum of its proper divisors (4489333822281).

10101001100103 is a wasteful number, since it uses less digits than its factorization.

10101001100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122333455573 (or 1122333455570 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10101001100103 its reverse (30100110010101), we get a palindrome (40201111110204).

The spelling of 10101001100103 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred three".