100010211312 has 200 divisors, whose sum is σ = 287211416400. Its totient is φ = 29984768000.

The previous prime is 100010211299. The next prime is 100010211383. The reversal of 100010211312 is 213112010001.

It is a super-2 number, since 2×100010211312² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70978864 + ... + 70980272.

It is an arithmetic number, because the mean of its divisors is an integer number (1436057082).

Almost surely, 2^100010211312 is an apocalyptic number.

100010211312 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 100010211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143605708200).

100010211312 is an abundant number, since it is smaller than the sum of its proper divisors (187201205088).

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

100010211312 is a wasteful number, since it uses less digits than its factorization.

100010211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1526 counting only the distinct ones).

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

Adding to 100010211312 its reverse (213112010001), we get a palindrome (313122221313).

The spelling of 100010211312 in words is "one hundred billion, ten million, two hundred eleven thousand, three hundred twelve".