4100101101 has 24 divisors (see below), whose sum is σ = 6028420320. Its totient is φ = 2684541600.

The previous prime is 4100101097. The next prime is 4100101151. The reversal of 4100101101 is 1011010014.

It is not a de Polignac number, because 4100101101 - 2² = 4100101097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100101151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682531 + ... + 688511.

It is an arithmetic number, because the mean of its divisors is an integer number (251184180).

Almost surely, 2^4100101101 is an apocalyptic number.

It is an amenable number.

4100101101 is a deficient number, since it is larger than the sum of its proper divisors (1928319219).

4100101101 is a wasteful number, since it uses less digits than its factorization.

4100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 4100101101 is about 64032.0318356368. The cubic root of 4100101101 is about 1600.5338194043.

Adding to 4100101101 its reverse (1011010014), we get a palindrome (5111111115).

The spelling of 4100101101 in words is "four billion, one hundred million, one hundred one thousand, one hundred one".