10112041100 has 72 divisors (see below), whose sum is σ = 25138161888. Its totient is φ = 3458649600.

The previous prime is 10112041097. The next prime is 10112041127. The reversal of 10112041100 is 114021101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277544 + ... + 311856.

Almost surely, 2^10112041100 is an apocalyptic number.

10112041100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569080944).

10112041100 is an abundant number, since it is smaller than the sum of its proper divisors (15026120788).

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

10112041100 is a wasteful number, since it uses less digits than its factorization.

10112041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34755 (or 34748 counting only the distinct ones).

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

Adding to 10112041100 its reverse (114021101), we get a palindrome (10226062201).

The spelling of 10112041100 in words is "ten billion, one hundred twelve million, forty-one thousand, one hundred".