4010013100 has 54 divisors (see below), whose sum is σ = 8790972932. Its totient is φ = 1587720000.

The previous prime is 4010013089. The next prime is 4010013107. The reversal of 4010013100 is 13100104.

It is a happy number.

It is a super-2 number, since 2×4010013100² = 32160410124343220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4010013107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1018135 + ... + 1022065.

Almost surely, 2^4010013100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395486466).

4010013100 is an abundant number, since it is smaller than the sum of its proper divisors (4780959832).

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

4010013100 is a wasteful number, since it uses less digits than its factorization.

4010013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 4010013100 is about 63324.6642312456. The cubic root of 4010013100 is about 1588.7245153736.

Adding to 4010013100 its reverse (13100104), we get a palindrome (4023113204).

The spelling of 4010013100 in words is "four billion, ten million, thirteen thousand, one hundred".