100211133000 has 256 divisors, whose sum is σ = 350304963840. Its totient is φ = 23636736000.

The previous prime is 100211132971. The next prime is 100211133013. The reversal of 100211133000 is 331112001.

100211133000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179964 + ... + 1262036.

It is an arithmetic number, because the mean of its divisors is an integer number (1368378765).

Almost surely, 2^100211133000 is an apocalyptic number.

100211133000 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 100211133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175152481920).

100211133000 is an abundant number, since it is smaller than the sum of its proper divisors (250093830840).

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

100211133000 is a wasteful number, since it uses less digits than its factorization.

100211133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82145 (or 82131 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100211133000 its reverse (331112001), we get a palindrome (100542245001).

The spelling of 100211133000 in words is "one hundred billion, two hundred eleven million, one hundred thirty-three thousand".