4100425101 has 24 divisors (see below), whose sum is σ = 6130757880. Its totient is φ = 2637766656.

The previous prime is 4100425097. The next prime is 4100425117. The reversal of 4100425101 is 1015240014.

4100425101 is a `hidden beast` number, since 410 + 0 + 4 + 251 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 4081293225 = 4374^2 + 63885^2 .

It is not a de Polignac number, because 4100425101 - 2² = 4100425097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100425171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558285 + ... + 565581.

It is an arithmetic number, because the mean of its divisors is an integer number (255448245).

Almost surely, 2^4100425101 is an apocalyptic number.

It is an amenable number.

4100425101 is a deficient number, since it is larger than the sum of its proper divisors (2030332779).

4100425101 is a wasteful number, since it uses less digits than its factorization.

4100425101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4100425101 is about 64034.5617694070. The cubic root of 4100425101 is about 1600.5759776572.

Adding to 4100425101 its reverse (1015240014), we get a palindrome (5115665115).

It can be divided in two parts, 4100 and 425101, that added together give a triangular number (429201 = T₉₂₆).

The spelling of 4100425101 in words is "four billion, one hundred million, four hundred twenty-five thousand, one hundred one".