211222121100 has 72 divisors (see below), whose sum is σ = 611399982480. Its totient is φ = 56301569280.

The previous prime is 211222121087. The next prime is 211222121107. The reversal of 211222121100 is 1121222112.

211222121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211222121100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211222121100.

It is not an unprimeable number, because it can be changed into a prime (211222121107) 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, 549006 + ... + 850794.

Almost surely, 2^211222121100 is an apocalyptic number.

211222121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222121100 is an abundant number, since it is smaller than the sum of its proper divisors (400177861380).

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

211222121100 is a wasteful number, since it uses less digits than its factorization.

211222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304139 (or 304132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211222121100 its reverse (1121222112), we get a palindrome (212343343212).

The spelling of 211222121100 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".