211022000100 has 216 divisors, whose sum is σ = 682046846208. Its totient is φ = 54531360000.

The previous prime is 211022000051. The next prime is 211022000107. The reversal of 211022000100 is 1000220112.

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

It is not an unprimeable number, because it can be changed into a prime (211022000107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8345677 + ... + 8370923.

It is an arithmetic number, because the mean of its divisors is an integer number (3157624288).

Almost surely, 2^211022000100 is an apocalyptic number.

211022000100 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 211022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341023423104).

211022000100 is an abundant number, since it is smaller than the sum of its proper divisors (471024846108).

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

211022000100 is a wasteful number, since it uses less digits than its factorization.

211022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25555 (or 25545 counting only the distinct ones).

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

Adding to 211022000100 its reverse (1000220112), we get a palindrome (212022220212).

It can be divided in two parts, 21102 and 2000100, that added together give a palindrome (2021202).

The spelling of 211022000100 in words is "two hundred eleven billion, twenty-two million, one hundred", and thus it is an aban number.