211220100 has 216 divisors, whose sum is σ = 815156160. Its totient is φ = 44547840.

The previous prime is 211220099. The next prime is 211220117. The reversal of 211220100 is 1022112.

211220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220100² = 89227861288020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80611 + ... + 83189.

Almost surely, 2^211220100 is an apocalyptic number.

211220100 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 211220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407578080).

211220100 is an abundant number, since it is smaller than the sum of its proper divisors (603936060).

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

211220100 is a wasteful number, since it uses less digits than its factorization.

211220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2609 counting only the distinct ones).

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

The square root of 211220100 is about 14533.4132260801. The cubic root of 211220100 is about 595.5411126224.

Adding to 211220100 its reverse (1022112), we get a palindrome (212242212).

The spelling of 211220100 in words is "two hundred eleven million, two hundred twenty thousand, one hundred".