100211001012 has 240 divisors, whose sum is σ = 279626764032. Its totient is φ = 31224061440.

The previous prime is 100211000987. The next prime is 100211001017. The reversal of 100211001012 is 210100112001.

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 = 100211000985 and 100211001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211001017) 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 79 ways as a sum of consecutive naturals, for example, 192343312 + ... + 192343832.

Almost surely, 2^100211001012 is an apocalyptic number.

100211001012 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 100211001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139813382016).

100211001012 is an abundant number, since it is smaller than the sum of its proper divisors (179415763020).

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

100211001012 is a wasteful number, since it uses less digits than its factorization.

100211001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

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

Adding to 100211001012 its reverse (210100112001), we get a palindrome (310311113013).

The spelling of 100211001012 in words is "one hundred billion, two hundred eleven million, one thousand, twelve".