211100012011020 has 48 divisors (see below), whose sum is σ = 644814582144768. Its totient is φ = 51175760487360.

The previous prime is 211100012010997. The next prime is 211100012011061. The reversal of 211100012011020 is 20110210001112.

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 = 211100012010987 and 211100012011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159924250864 + ... + 159924252183.

It is an arithmetic number, because the mean of its divisors is an integer number (13433637128016).

Almost surely, 2^{211100012011020} is an apocalyptic number.

211100012011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100012011020 is an abundant number, since it is smaller than the sum of its proper divisors (433714570133748).

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

211100012011020 is a wasteful number, since it uses less digits than its factorization.

211100012011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319848503070 (or 319848503068 counting only the distinct ones).

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

Adding to 211100012011020 its reverse (20110210001112), we get a palindrome (231210222012132).

The spelling of 211100012011020 in words is "two hundred eleven trillion, one hundred billion, twelve million, eleven thousand, twenty".