211120001001100 has 288 divisors, whose sum is σ = 499152584189952. Its totient is φ = 77192524800000.

The previous prime is 211120001001079. The next prime is 211120001001127. The reversal of 211120001001100 is 1100100021112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27407499849 + ... + 27407507551.

It is an arithmetic number, because the mean of its divisors is an integer number (1733168695104).

Almost surely, 2^{211120001001100} is an apocalyptic number.

211120001001100 is a gapful number since it is divisible by the number (20) 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 211120001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249576292094976).

211120001001100 is an abundant number, since it is smaller than the sum of its proper divisors (288032583188852).

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

211120001001100 is a wasteful number, since it uses less digits than its factorization.

211120001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211120001001100 its reverse (1100100021112), we get a palindrome (212220101022212).

The spelling of 211120001001100 in words is "two hundred eleven trillion, one hundred twenty billion, one million, one thousand, one hundred".