4101123100 has 72 divisors (see below), whose sum is σ = 9316153728. Its totient is φ = 1564094400.

The previous prime is 4101123067. The next prime is 4101123107. The reversal of 4101123100 is 13211014.

It is a super-2 number, since 2×4101123100² = 33638421362707220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101123107) 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, 758607 + ... + 763993.

It is an arithmetic number, because the mean of its divisors is an integer number (129391024).

Almost surely, 2^4101123100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658076864).

4101123100 is an abundant number, since it is smaller than the sum of its proper divisors (5215030628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4101123100 is a wasteful number, since it uses less digits than its factorization.

4101123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 4101123100 is about 64040.0117114293. The cubic root of 4101123100 is about 1600.6667923913. Note that the first 3 decimals are identical.

Adding to 4101123100 its reverse (13211014), we get a palindrome (4114334114).

The spelling of 4101123100 in words is "four billion, one hundred one million, one hundred twenty-three thousand, one hundred".