101120100003 has 48 divisors (see below), whose sum is σ = 162792935040. Its totient is φ = 62007075936.

The previous prime is 101120099999. The next prime is 101120100079. The reversal of 101120100003 is 300001021101.

It is not a de Polignac number, because 101120100003 - 2² = 101120099999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101120100083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252176 + ... + 1330482.

It is an arithmetic number, because the mean of its divisors is an integer number (3391519480).

Almost surely, 2^101120100003 is an apocalyptic number.

101120100003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101120100003 is a deficient number, since it is larger than the sum of its proper divisors (61672835037).

101120100003 is a wasteful number, since it uses less digits than its factorization.

101120100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78625 (or 78606 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101120100003 its reverse (300001021101), we get a palindrome (401121121104).

The spelling of 101120100003 in words is "one hundred one billion, one hundred twenty million, one hundred thousand, three".