211001002120 has 64 divisors (see below), whose sum is σ = 475773102000. Its totient is φ = 84219125760.

The previous prime is 211001002087. The next prime is 211001002129. The reversal of 211001002120 is 21200100112.

It can be written as a sum of positive squares in 8 ways, for example, as 100985399524 + 110015602596 = 317782^2 + 331686^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211001002097 and 211001002106.

It is not an unprimeable number, because it can be changed into a prime (211001002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52109856 + ... + 52113904.

Almost surely, 2^211001002120 is an apocalyptic number.

211001002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001002120 is an abundant number, since it is smaller than the sum of its proper divisors (264772099880).

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

211001002120 is a wasteful number, since it uses less digits than its factorization.

211001002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211001002120 its reverse (21200100112), we get a palindrome (232201102232).

The spelling of 211001002120 in words is "two hundred eleven billion, one million, two thousand, one hundred twenty".