101100010004 has 24 divisors (see below), whose sum is σ = 214094139840. Its totient is φ = 40779835776.

The previous prime is 101100010003. The next prime is 101100010009. The reversal of 101100010004 is 400010001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100009973 and 101100010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106197014 + ... + 106197965.

It is an arithmetic number, because the mean of its divisors is an integer number (8920589160).

Almost surely, 2^101100010004 is an apocalyptic number.

101100010004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101100010004 is an abundant number, since it is smaller than the sum of its proper divisors (112994129836).

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

101100010004 is a wasteful number, since it uses less digits than its factorization.

101100010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212395007 (or 212395005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101100010004 its reverse (400010001101), we get a palindrome (501110011105).

The spelling of 101100010004 in words is "one hundred one billion, one hundred million, ten thousand, four".