10100104100 has 18 divisors (see below), whose sum is σ = 21917226114. Its totient is φ = 4040041600.

The previous prime is 10100104093. The next prime is 10100104117. The reversal of 10100104100 is 140100101.

It can be written as a sum of positive squares in 3 ways, for example, as 439573156 + 9660530944 = 20966^2 + 98288^2 .

It is a super-3 number, since 3×10100104100³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50500421 + ... + 50500620.

It is an arithmetic number, because the mean of its divisors is an integer number (1217623673).

Almost surely, 2^10100104100 is an apocalyptic number.

10100104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100104100 is an abundant number, since it is smaller than the sum of its proper divisors (11817122014).

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

10100104100 is a wasteful number, since it uses less digits than its factorization.

10100104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001055 (or 101001048 counting only the distinct ones).

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

Adding to 10100104100 its reverse (140100101), we get a palindrome (10240204201).

The spelling of 10100104100 in words is "ten billion, one hundred million, one hundred four thousand, one hundred".