10114104100 has 108 divisors (see below), whose sum is σ = 23419243260. Its totient is φ = 3790592000.

The previous prime is 10114104079. The next prime is 10114104103. The reversal of 10114104100 is 140141101.

It can be written as a sum of positive squares in 18 ways, for example, as 9214464064 + 899640036 = 95992^2 + 29994^2 .

It is not an unprimeable number, because it can be changed into a prime (10114104103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7773450 + ... + 7774750.

It is an arithmetic number, because the mean of its divisors is an integer number (216844845).

Almost surely, 2^10114104100 is an apocalyptic number.

10114104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709621630).

10114104100 is an abundant number, since it is smaller than the sum of its proper divisors (13305139160).

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

10114104100 is a wasteful number, since it uses less digits than its factorization.

10114104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10114104100 its reverse (140141101), we get a palindrome (10254245201).

The spelling of 10114104100 in words is "ten billion, one hundred fourteen million, one hundred four thousand, one hundred".