101003119104 has 160 divisors (see below), whose sum is σ = 279056067840. Its totient is φ = 32425164800.

The previous prime is 101003119081. The next prime is 101003119109. The reversal of 101003119104 is 401911300101.

It is not an unprimeable number, because it can be changed into a prime (101003119109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19195834 + ... + 19201094.

It is an arithmetic number, because the mean of its divisors is an integer number (1744100424).

Almost surely, 2^101003119104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101003119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139528033920).

101003119104 is an abundant number, since it is smaller than the sum of its proper divisors (178052948736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101003119104 is an equidigital number, since it uses as much as digits as its factorization.

101003119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 101003119104 its reverse (401911300101), we get a palindrome (502914419205).

The spelling of 101003119104 in words is "one hundred one billion, three million, one hundred nineteen thousand, one hundred four".