210221101122012 has 144 divisors (see below), whose sum is σ = 551204894534112. Its totient is φ = 67498987046400.

The previous prime is 210221101121989. The next prime is 210221101122017.

210221101122012 is a `hidden beast` number, since 210 + 2 + 211 + 0 + 11 + 220 + 12 = 666.

210221101122012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210221101122012² (a number of 29 digits) contains 22 as substring.

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 (210221101122017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738496578 + ... + 1738617494.

It is an arithmetic number, because the mean of its divisors is an integer number (3827811767598).

Almost surely, 2^{210221101122012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221101122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275602447267056).

210221101122012 is an abundant number, since it is smaller than the sum of its proper divisors (340983793412100).

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

210221101122012 is a wasteful number, since it uses less digits than its factorization.

210221101122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133988 (or 133983 counting only the distinct ones).

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

It can be divided in two parts, 21022110 and 1122012, that added together give a palindrome (22144122).

The spelling of 210221101122012 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, twelve".