100103211012 has 96 divisors (see below), whose sum is σ = 275873681664. Its totient is φ = 27656294400.

The previous prime is 100103210951. The next prime is 100103211017. The reversal of 100103211012 is 210112301001.

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 (100103211017) 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 31 ways as a sum of consecutive naturals, for example, 260562 + ... + 517782.

It is an arithmetic number, because the mean of its divisors is an integer number (2873684184).

Almost surely, 2^100103211012 is an apocalyptic number.

100103211012 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 100103211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137936840832).

100103211012 is an abundant number, since it is smaller than the sum of its proper divisors (175770470652).

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

100103211012 is a wasteful number, since it uses less digits than its factorization.

100103211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257389 (or 257387 counting only the distinct ones).

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

Adding to 100103211012 its reverse (210112301001), we get a palindrome (310215512013).

The spelling of 100103211012 in words is "one hundred billion, one hundred three million, two hundred eleven thousand, twelve".