100211311200 has 1728 divisors, whose sum is σ = 457823197440. Its totient is φ = 18708480000.

The previous prime is 100211311199. The next prime is 100211311201. The reversal of 100211311200 is 2113112001.

It is an interprime number because it is at equal distance from previous prime (100211311199) and next prime (100211311201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211311201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 992191150 + ... + 992191250.

It is an arithmetic number, because the mean of its divisors is an integer number (264943980).

Almost surely, 2^100211311200 is an apocalyptic number.

100211311200 is a gapful number since it is divisible by the number (10) 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 100211311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228911598720).

100211311200 is an abundant number, since it is smaller than the sum of its proper divisors (357611886240).

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

100211311200 is a wasteful number, since it uses less digits than its factorization.

100211311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

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

Adding to 100211311200 its reverse (2113112001), we get a palindrome (102324423201).

The spelling of 100211311200 in words is "one hundred billion, two hundred eleven million, three hundred eleven thousand, two hundred".