211120012010100 has 72 divisors (see below), whose sum is σ = 610850349200448. Its totient is φ = 56297768384000.

The previous prime is 211120012010069. The next prime is 211120012010119. The reversal of 211120012010100 is 1010210021112.

It is a super-2 number, since 2×211120012010100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13237417 + ... + 24443183.

It is an arithmetic number, because the mean of its divisors is an integer number (8484032627784).

Almost surely, 2^{211120012010100} is an apocalyptic number.

211120012010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120012010100 is an abundant number, since it is smaller than the sum of its proper divisors (399730337190348).

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

211120012010100 is a wasteful number, since it uses less digits than its factorization.

211120012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268585 (or 11268578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211120012010100 its reverse (1010210021112), we get a palindrome (212130222031212).

The spelling of 211120012010100 in words is "two hundred eleven trillion, one hundred twenty billion, twelve million, ten thousand, one hundred".