10101010100103 has 64 divisors (see below), whose sum is σ = 16691165568000. Its totient is φ = 5994502754688.

The previous prime is 10101010100081. The next prime is 10101010100141. The reversal of 10101010100103 is 30100101010101.

It is not a de Polignac number, because 10101010100103 - 2¹⁸ = 10101009837959 is a prime.

It is a super-2 number, since 2×10101010100103² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101010100173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7948800 + ... + 9131562.

It is an arithmetic number, because the mean of its divisors is an integer number (260799462000).

Almost surely, 2^{10101010100103} is an apocalyptic number.

10101010100103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10101010100103 is a deficient number, since it is larger than the sum of its proper divisors (6590155467897).

10101010100103 is a wasteful number, since it uses less digits than its factorization.

10101010100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183653 (or 1183647 counting only the distinct ones).

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

Adding to 10101010100103 its reverse (30100101010101), we get a palindrome (40201111110204).

The spelling of 10101010100103 in words is "ten trillion, one hundred one billion, ten million, one hundred thousand, one hundred three".