10100010004 has 24 divisors (see below), whose sum is σ = 20251969920. Its totient is φ = 4317443616.

The previous prime is 10100009993. The next prime is 10100010013. The reversal of 10100010004 is 40001000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452752 + ... + 474535.

It is an arithmetic number, because the mean of its divisors is an integer number (843832080).

Almost surely, 2^10100010004 is an apocalyptic number.

10100010004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10100010004 is an abundant number, since it is smaller than the sum of its proper divisors (10151959916).

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

10100010004 is a wasteful number, since it uses less digits than its factorization.

10100010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927687 (or 927685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100010004 its reverse (40001000101), we get a palindrome (50101010105).

The spelling of 10100010004 in words is "ten billion, one hundred million, ten thousand, four".