100010211012 has 144 divisors (see below), whose sum is σ = 271573061760. Its totient is φ = 30951258624.

The previous prime is 100010211011. The next prime is 100010211053. The reversal of 100010211012 is 210112010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010210985 and 100010211003.

It is not an unprimeable number, because it can be changed into a prime (100010211011) 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 47 ways as a sum of consecutive naturals, for example, 13568064 + ... + 13575432.

It is an arithmetic number, because the mean of its divisors is an integer number (1885924040).

Almost surely, 2^100010211012 is an apocalyptic number.

100010211012 is a gapful number since it is divisible by the number (12) 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 100010211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135786530880).

100010211012 is an abundant number, since it is smaller than the sum of its proper divisors (171562850748).

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

100010211012 is a wasteful number, since it uses less digits than its factorization.

100010211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7877 counting only the distinct ones).

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

Adding to 100010211012 its reverse (210112010001), we get a palindrome (310122221013).

The spelling of 100010211012 in words is "one hundred billion, ten million, two hundred eleven thousand, twelve".