4010010100 has 36 divisors (see below), whose sum is σ = 8717465484. Its totient is φ = 1601102080.

The previous prime is 4010010079. The next prime is 4010010113. The reversal of 4010010100 is 10100104.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6411024 + 4003599076 = 2532^2 + 63274^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19704 + ... + 91696.

It is an arithmetic number, because the mean of its divisors is an integer number (242151819).

Almost surely, 2^4010010100 is an apocalyptic number.

It is an amenable number.

4010010100 is an abundant number, since it is smaller than the sum of its proper divisors (4707455384).

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

4010010100 is a wasteful number, since it uses less digits than its factorization.

4010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72564 (or 72557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 4010010100 is about 63324.6405437883. The cubic root of 4010010100 is about 1588.7241191841.

Adding to 4010010100 its reverse (10100104), we get a palindrome (4020110204).

The spelling of 4010010100 in words is "four billion, ten million, ten thousand, one hundred".