211122222002100 has 216 divisors, whose sum is σ = 676633584623360. Its totient is φ = 55046932611840.

The previous prime is 211122222002057. The next prime is 211122222002171. The reversal of 211122222002100 is 1200222221112.

It is a happy number.

211122222002100 is a `hidden beast` number, since 2 + 1 + 11 + 222 + 220 + 0 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7091119 + ... + 21737718.

Almost surely, 2^{211122222002100} is an apocalyptic number.

211122222002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122222002100 is an abundant number, since it is smaller than the sum of its proper divisors (465511362621260).

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

211122222002100 is a wasteful number, since it uses less digits than its factorization.

211122222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829039 (or 28829029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122222002100 its reverse (1200222221112), we get a palindrome (212322444223212).

The spelling of 211122222002100 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-two million, two thousand, one hundred".