10101100000103 has 8 divisors (see below), whose sum is σ = 11942187192480. Its totient is φ = 8359531034400.

The previous prime is 10101100000067. The next prime is 10101100000151. The reversal of 10101100000103 is 30100000110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10101100000103 - 2¹⁴ = 10101099983719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100000153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24879556448 + ... + 24879556853.

It is an arithmetic number, because the mean of its divisors is an integer number (1492773399060).

Almost surely, 2^{10101100000103} is an apocalyptic number.

10101100000103 is a deficient number, since it is larger than the sum of its proper divisors (1841087192377).

10101100000103 is an equidigital number, since it uses as much as digits as its factorization.

10101100000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49759113337.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10101100000103 its reverse (30100000110101), we get a palindrome (40201100110204).

The spelling of 10101100000103 in words is "ten trillion, one hundred one billion, one hundred million, one hundred three", and thus it is an aban number.