4000100101 has 8 divisors (see below), whose sum is σ = 4007838744. Its totient is φ = 3992371200.

The previous prime is 4000100099. The next prime is 4000100149. The reversal of 4000100101 is 1010010004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1600080001 + 2400020100 = 40001^2 + 48990^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000100101 - 2¹ = 4000100099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000100201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947391 + ... + 1949443.

It is an arithmetic number, because the mean of its divisors is an integer number (500979843).

Almost surely, 2^4000100101 is an apocalyptic number.

It is an amenable number.

4000100101 is a deficient number, since it is larger than the sum of its proper divisors (7738643).

4000100101 is a wasteful number, since it uses less digits than its factorization.

4000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871.

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

The square root of 4000100101 is about 63246.3445663068. The cubic root of 4000100101 is about 1587.4142935605.

Adding to 4000100101 its reverse (1010010004), we get a palindrome (5010110105).

The spelling of 4000100101 in words is "four billion, one hundred thousand, one hundred one".