100400101004 has 12 divisors (see below), whose sum is σ = 200800202064. Its totient is φ = 43028614704.

The previous prime is 100400101003. The next prime is 100400101019. The reversal of 100400101004 is 400101004001.

100400101004 is an admirable number.

It is a super-2 number, since 2×100400101004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100400101003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1792858919 + ... + 1792858974.

It is an arithmetic number, because the mean of its divisors is an integer number (16733350172).

Almost surely, 2^100400101004 is an apocalyptic number.

100400101004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100400101004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100400101004 is a wasteful number, since it uses less digits than its factorization.

100400101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585717904 (or 3585717902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100400101004 its reverse (400101004001), we get a palindrome (500501105005).

The spelling of 100400101004 in words is "one hundred billion, four hundred million, one hundred one thousand, four".