10412021100 has 144 divisors (see below), whose sum is σ = 32927836928. Its totient is φ = 2524642560.

The previous prime is 10412021099. The next prime is 10412021101. The reversal of 10412021100 is 112021401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10412021099) and next prime (10412021101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10412021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241377 + ... + 281223.

Almost surely, 2^10412021100 is an apocalyptic number.

10412021100 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 10412021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16463918464).

10412021100 is an abundant number, since it is smaller than the sum of its proper divisors (22515815828).

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

10412021100 is a wasteful number, since it uses less digits than its factorization.

10412021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944 (or 39937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10412021100 its reverse (112021401), we get a palindrome (10524042501).

The spelling of 10412021100 in words is "ten billion, four hundred twelve million, twenty-one thousand, one hundred".