211020220100 has 72 divisors (see below), whose sum is σ = 465911325600. Its totient is φ = 82935360000.

The previous prime is 211020219983. The next prime is 211020220109. The reversal of 211020220100 is 1022020112.

It is a happy number.

211020220100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211020220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13272956 + ... + 13288844.

Almost surely, 2^211020220100 is an apocalyptic number.

211020220100 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 211020220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232955662800).

211020220100 is an abundant number, since it is smaller than the sum of its proper divisors (254891105500).

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

211020220100 is a wasteful number, since it uses less digits than its factorization.

211020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18213 (or 18206 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211020220100 its reverse (1022020112), we get a palindrome (212042240212).

The spelling of 211020220100 in words is "two hundred eleven billion, twenty million, two hundred twenty thousand, one hundred".