10100003100111 has 16 divisors (see below), whose sum is σ = 14965861393920. Its totient is φ = 6732033172920.

The previous prime is 10100003100091. The next prime is 10100003100113. The reversal of 10100003100111 is 11100130000101.

It is not a de Polignac number, because 10100003100111 - 2⁵ = 10100003100079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100003100093 and 10100003100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100003100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36030775 + ... + 36310008.

It is an arithmetic number, because the mean of its divisors is an integer number (935366337120).

Almost surely, 2^{10100003100111} is an apocalyptic number.

10100003100111 is a deficient number, since it is larger than the sum of its proper divisors (4865858293809).

10100003100111 is an equidigital number, since it uses as much as digits as its factorization.

10100003100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72345963 (or 72345957 counting only the distinct ones).

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

Adding to 10100003100111 its reverse (11100130000101), we get a palindrome (21200133100212).

The spelling of 10100003100111 in words is "ten trillion, one hundred billion, three million, one hundred thousand, one hundred eleven".