211002100020 has 288 divisors, whose sum is σ = 679515258240. Its totient is φ = 52930298880.

The previous prime is 211002100019. The next prime is 211002100103. The reversal of 211002100020 is 20001200112.

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 = 211002099975 and 211002100011.

It is a congruent number.

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, 23964939 + ... + 23973741.

It is an arithmetic number, because the mean of its divisors is an integer number (2359427980).

Almost surely, 2^211002100020 is an apocalyptic number.

211002100020 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 211002100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339757629120).

211002100020 is an abundant number, since it is smaller than the sum of its proper divisors (468513158220).

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

211002100020 is a wasteful number, since it uses less digits than its factorization.

211002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8970 counting only the distinct ones).

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

Adding to 211002100020 its reverse (20001200112), we get a palindrome (231003300132).

The spelling of 211002100020 in words is "two hundred eleven billion, two million, one hundred thousand, twenty".