10012211100 has 108 divisors (see below), whose sum is σ = 32231008264. Its totient is φ = 2597754240.

The previous prime is 10012211093. The next prime is 10012211107. The reversal of 10012211100 is 111221001.

It is a happy number.

10012211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10012211093) and next prime (10012211107).

It is a super-2 number, since 2×10012211100² (a number of 21 digits) contains 22 as substring.

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 (10012211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117034 + ... + 183633.

Almost surely, 2^10012211100 is an apocalyptic number.

10012211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012211100 is an abundant number, since it is smaller than the sum of its proper divisors (22218797164).

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

10012211100 is a wasteful number, since it uses less digits than its factorization.

10012211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300724 (or 300714 counting only the distinct ones).

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

Adding to 10012211100 its reverse (111221001), we get a palindrome (10123432101).

Subtracting from 10012211100 its reverse (111221001), we obtain a palindrome (9900990099).

The spelling of 10012211100 in words is "ten billion, twelve million, two hundred eleven thousand, one hundred".