211000102020 has 288 divisors, whose sum is σ = 667243231200. Its totient is φ = 53926871040.

The previous prime is 211000102009. The next prime is 211000102043. The reversal of 211000102020 is 20201000112.

It can be written as a sum of positive squares in 16 ways, for example, as 146439390276 + 64560711744 = 382674^2 + 254088^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000101993 and 211000102011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136216206 + ... + 136217754.

It is an arithmetic number, because the mean of its divisors is an integer number (2316816775).

Almost surely, 2^211000102020 is an apocalyptic number.

211000102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333621615600).

211000102020 is an abundant number, since it is smaller than the sum of its proper divisors (456243129180).

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

211000102020 is a wasteful number, since it uses less digits than its factorization.

211000102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000102020 its reverse (20201000112), we get a palindrome (231201102132).

The spelling of 211000102020 in words is "two hundred eleven billion, one hundred two thousand, twenty".