100211323104 has 288 divisors, whose sum is σ = 315875536704. Its totient is φ = 29974855680.

The previous prime is 100211323067. The next prime is 100211323109. The reversal of 100211323104 is 401323112001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211323109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39749364 + ... + 39751884.

It is an arithmetic number, because the mean of its divisors is an integer number (1096790058).

Almost surely, 2^100211323104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157937768352).

100211323104 is an abundant number, since it is smaller than the sum of its proper divisors (215664213600).

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

100211323104 is a wasteful number, since it uses less digits than its factorization.

100211323104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100211323104 its reverse (401323112001), we get a palindrome (501534435105).

The spelling of 100211323104 in words is "one hundred billion, two hundred eleven million, three hundred twenty-three thousand, one hundred four".