10114413100 has 72 divisors (see below), whose sum is σ = 24190670448. Its totient is φ = 3640012800.

The previous prime is 10114413091. The next prime is 10114413103. The reversal of 10114413100 is 131441101.

It is a super-2 number, since 2×10114413100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114413103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59304 + ... + 154096.

It is an arithmetic number, because the mean of its divisors is an integer number (335981534).

Almost surely, 2^10114413100 is an apocalyptic number.

10114413100 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 10114413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095335224).

10114413100 is an abundant number, since it is smaller than the sum of its proper divisors (14076257348).

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

10114413100 is a wasteful number, since it uses less digits than its factorization.

10114413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94915 (or 94908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10114413100 its reverse (131441101), we get a palindrome (10245854201).

It can be divided in two parts, 101144 and 13100, that added together give a square (114244 = 338²).

The spelling of 10114413100 in words is "ten billion, one hundred fourteen million, four hundred thirteen thousand, one hundred".