4101201101 has 16 divisors (see below), whose sum is σ = 4278435504. Its totient is φ = 3927688704.

The previous prime is 4101201089. The next prime is 4101201103. The reversal of 4101201101 is 1011021014.

It can be written as a sum of positive squares in 8 ways, for example, as 42237001 + 4058964100 = 6499^2 + 63710^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101201101 - 2³⁰ = 3027459277 is a prime.

It is a super-2 number, since 2×4101201101² = 33639700941687224402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101201103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1654475 + ... + 1656951.

It is an arithmetic number, because the mean of its divisors is an integer number (267402219).

Almost surely, 2^4101201101 is an apocalyptic number.

It is an amenable number.

4101201101 is a deficient number, since it is larger than the sum of its proper divisors (177234403).

4101201101 is a wasteful number, since it uses less digits than its factorization.

4101201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 4101201101 is about 64040.6207106084. The cubic root of 4101201101 is about 1600.6769402473.

Adding to 4101201101 its reverse (1011021014), we get a palindrome (5112222115).

The spelling of 4101201101 in words is "four billion, one hundred one million, two hundred one thousand, one hundred one".