211200111001020 has 96 divisors (see below), whose sum is σ = 591495139368000. Its totient is φ = 56307190523904.

The previous prime is 211200111000997. The next prime is 211200111001027. The reversal of 211200111001020 is 20100111002112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211200111000987 and 211200111001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200111001027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6290006472 + ... + 6290040048.

It is an arithmetic number, because the mean of its divisors is an integer number (6161407701750).

Almost surely, 2^{211200111001020} is an apocalyptic number.

211200111001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200111001020 is an abundant number, since it is smaller than the sum of its proper divisors (380295028366980).

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

211200111001020 is a wasteful number, since it uses less digits than its factorization.

211200111001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54367 (or 54365 counting only the distinct ones).

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

Adding to 211200111001020 its reverse (20100111002112), we get a palindrome (231300222003132).

The spelling of 211200111001020 in words is "two hundred eleven trillion, two hundred billion, one hundred eleven million, one thousand, twenty".