100211122222110 has 48 divisors (see below), whose sum is σ = 260598256055280. Its totient is φ = 26717905589760.

The previous prime is 100211122222091. The next prime is 100211122222111. The reversal of 100211122222110 is 11222221112001.

100211122222110 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 1 + 222 + 221 + 10 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211122222111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 104945740 + ... + 105896319.

It is an arithmetic number, because the mean of its divisors is an integer number (5429130334485).

Almost surely, 2^{100211122222110} is an apocalyptic number.

100211122222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100211122222110 is an abundant number, since it is smaller than the sum of its proper divisors (160387133833170).

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

100211122222110 is a wasteful number, since it uses less digits than its factorization.

100211122222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210847353 (or 210847350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211122222110 its reverse (11222221112001), we get a palindrome (111433343334111).

The spelling of 100211122222110 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred ten".