211102100020 has 96 divisors (see below), whose sum is σ = 511008841728. Its totient is φ = 71755310592.

The previous prime is 211102100003. The next prime is 211102100063. The reversal of 211102100020 is 20001201112.

211102100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30098034 + ... + 30105046.

It is an arithmetic number, because the mean of its divisors is an integer number (5323008768).

Almost surely, 2^211102100020 is an apocalyptic number.

211102100020 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 211102100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255504420864).

211102100020 is an abundant number, since it is smaller than the sum of its proper divisors (299906741708).

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

211102100020 is a wasteful number, since it uses less digits than its factorization.

211102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211102100020 its reverse (20001201112), we get a palindrome (231103301132).

The spelling of 211102100020 in words is "two hundred eleven billion, one hundred two million, one hundred thousand, twenty".