10103102110101 has 96 divisors (see below), whose sum is σ = 18550185325056. Its totient is φ = 4807661040000.

The previous prime is 10103102110081. The next prime is 10103102110109. The reversal of 10103102110101 is 10101120130101.

It is not a de Polignac number, because 10103102110101 - 2⁶ = 10103102110037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103102110109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919326 + ... + 4588176.

It is an arithmetic number, because the mean of its divisors is an integer number (193231097136).

Almost surely, 2^{10103102110101} is an apocalyptic number.

10103102110101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10103102110101 is a deficient number, since it is larger than the sum of its proper divisors (8447083214955).

10103102110101 is a wasteful number, since it uses less digits than its factorization.

10103102110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669023 (or 3669016 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10103102110101 its reverse (10101120130101), we get a palindrome (20204222240202).

The spelling of 10103102110101 in words is "ten trillion, one hundred three billion, one hundred two million, one hundred ten thousand, one hundred one".