4001052101 has 16 divisors (see below), whose sum is σ = 4239696384. Its totient is φ = 3768115824.

The previous prime is 4001052067. The next prime is 4001052113. The reversal of 4001052101 is 1012501004.

It is a cyclic number.

It is not a de Polignac number, because 4001052101 - 2¹⁸ = 4000789957 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 (4001052161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582650 + ... + 589476.

It is an arithmetic number, because the mean of its divisors is an integer number (264981024).

Almost surely, 2^4001052101 is an apocalyptic number.

It is an amenable number.

4001052101 is a deficient number, since it is larger than the sum of its proper divisors (238644283).

4001052101 is a wasteful number, since it uses less digits than its factorization.

4001052101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 4001052101 is about 63253.8702452269. The cubic root of 4001052101 is about 1587.5402152873.

Adding to 4001052101 its reverse (1012501004), we get a palindrome (5013553105).

It can be divided in two parts, 400 and 1052101, that added together give a palindrome (1052501).

The spelling of 4001052101 in words is "four billion, one million, fifty-two thousand, one hundred one".