10114204100 has 288 divisors, whose sum is σ = 29864755200. Its totient is φ = 2870899200.

The previous prime is 10114204091. The next prime is 10114204147. The reversal of 10114204100 is 140241101.

It is a super-4 number, since 4×10114204100⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7907261 + ... + 7908539.

Almost surely, 2^10114204100 is an apocalyptic number.

10114204100 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 10114204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932377600).

10114204100 is an abundant number, since it is smaller than the sum of its proper divisors (19750551100).

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

10114204100 is a wasteful number, since it uses less digits than its factorization.

10114204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10114204100 its reverse (140241101), we get a palindrome (10254445201).

The spelling of 10114204100 in words is "ten billion, one hundred fourteen million, two hundred four thousand, one hundred".