100211101001100 has 288 divisors, whose sum is σ = 323796786790400. Its totient is φ = 26587406822400.

The previous prime is 100211101001093. The next prime is 100211101001161. The reversal of 100211101001100 is 1100101112001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 707240061 + ... + 707381739.

Almost surely, 2^{100211101001100} is an apocalyptic number.

100211101001100 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 100211101001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161898393395200).

100211101001100 is an abundant number, since it is smaller than the sum of its proper divisors (223585685789300).

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

100211101001100 is a wasteful number, since it uses less digits than its factorization.

100211101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143030 (or 143017 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100211101001100 its reverse (1100101112001), we get a palindrome (101311202113101).

The spelling of 100211101001100 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one thousand, one hundred".