4101070100 has 72 divisors (see below), whose sum is σ = 9152497536. Its totient is φ = 1594080000.

The previous prime is 4101070097. The next prime is 4101070109. The reversal of 4101070100 is 10701014.

It is a happy number.

4101070100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4101070100² = 33637551930228020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101070109) 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, 1109255 + ... + 1112945.

Almost surely, 2^4101070100 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 4101070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576248768).

4101070100 is an abundant number, since it is smaller than the sum of its proper divisors (5051427436).

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

4101070100 is a wasteful number, since it uses less digits than its factorization.

4101070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 4101070100 is about 64039.5979062954. The cubic root of 4101070100 is about 1600.6598970683.

Adding to 4101070100 its reverse (10701014), we get a palindrome (4111771114).

The spelling of 4101070100 in words is "four billion, one hundred one million, seventy thousand, one hundred".