211101010010020 has 24 divisors (see below), whose sum is σ = 477413053407864. Its totient is φ = 77944988311296.

The previous prime is 211101010010003. The next prime is 211101010010021. The reversal of 211101010010020 is 20010010101112.

It can be written as a sum of positive squares in 4 ways, for example, as 21228263767396 + 189872746242624 = 4607414^2 + 13779432^2 .

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 = 211101010009979 and 211101010010006.

It is not an unprimeable number, because it can be changed into a prime (211101010010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405963480529 + ... + 405963481048.

It is an arithmetic number, because the mean of its divisors is an integer number (19892210558661).

Almost surely, 2^{211101010010020} is an apocalyptic number.

211101010010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101010010020 is an abundant number, since it is smaller than the sum of its proper divisors (266312043397844).

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

211101010010020 is a wasteful number, since it uses less digits than its factorization.

211101010010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811926961599 (or 811926961597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211101010010020 its reverse (20010010101112), we get a palindrome (231111020111132).

The spelling of 211101010010020 in words is "two hundred eleven trillion, one hundred one billion, ten million, ten thousand, twenty".