211101211002020 has 24 divisors (see below), whose sum is σ = 447701776208568. Its totient is φ = 83604440000000.

The previous prime is 211101211002001. The next prime is 211101211002083. The reversal of 211101211002020 is 20200112101112.

It can be written as a sum of positive squares in 4 ways, for example, as 24185720738404 + 186915490263616 = 4917898^2 + 13671704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211101211001986 and 211101211002004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52252772981 + ... + 52252777020.

It is an arithmetic number, because the mean of its divisors is an integer number (18654240675357).

Almost surely, 2^{211101211002020} is an apocalyptic number.

211101211002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101211002020 is an abundant number, since it is smaller than the sum of its proper divisors (236600565206548).

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

211101211002020 is a wasteful number, since it uses less digits than its factorization.

211101211002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104505550111 (or 104505550109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211101211002020 its reverse (20200112101112), we get a palindrome (231301323103132).

The spelling of 211101211002020 in words is "two hundred eleven trillion, one hundred one billion, two hundred eleven million, two thousand, twenty".