211001201100020 has 48 divisors (see below), whose sum is σ = 447188321376720. Its totient is φ = 83622304475136.

The previous prime is 211001201099999. The next prime is 211001201100023. The reversal of 211001201100020 is 20001102100112.

It can be written as a sum of positive squares in 8 ways, for example, as 2735491060624 + 208265710039396 = 1653932^2 + 14431414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211001201099974 and 211001201100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001201100023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45242444 + ... + 49687836.

It is an arithmetic number, because the mean of its divisors is an integer number (9316423362015).

Almost surely, 2^{211001201100020} is an apocalyptic number.

211001201100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001201100020 is an abundant number, since it is smaller than the sum of its proper divisors (236187120276700).

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

211001201100020 is a wasteful number, since it uses less digits than its factorization.

211001201100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467284 (or 4467282 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211001201100020 its reverse (20001102100112), we get a palindrome (231002303200132).

The spelling of 211001201100020 in words is "two hundred eleven trillion, one billion, two hundred one million, one hundred thousand, twenty".