10212122221110 has 64 divisors (see below), whose sum is σ = 28834227460800. Its totient is φ = 2563042438656.

The previous prime is 10212122221099. The next prime is 10212122221111. The reversal of 10212122221110 is 1112222121201.

10212122221110 is a `hidden beast` number, since 1 + 0 + 212 + 122 + 221 + 110 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212122221111) 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 31 ways as a sum of consecutive naturals, for example, 1112427025 + ... + 1112436204.

It is an arithmetic number, because the mean of its divisors is an integer number (450534804075).

Almost surely, 2^{10212122221110} is an apocalyptic number.

10212122221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10212122221110 is an abundant number, since it is smaller than the sum of its proper divisors (18622105239690).

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

10212122221110 is a wasteful number, since it uses less digits than its factorization.

10212122221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224863262 (or 2224863256 counting only the distinct ones).

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

Adding to 10212122221110 its reverse (1112222121201), we get a palindrome (11324344342311).

Subtracting from 10212122221110 its reverse (1112222121201), we obtain a palindrome (9099900099909).

The spelling of 10212122221110 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred ten".