221012010211122 has 192 divisors, whose sum is σ = 528779340311040. Its totient is φ = 66303804413952.

The previous prime is 221012010211121. The next prime is 221012010211133. The reversal of 221012010211122 is 221112010210122.

221012010211122 is a `hidden beast` number, since 2 + 210 + 120 + 1 + 0 + 211 + 122 = 666.

It is a super-2 number, since 2×221012010211122² (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 junction number, because it is equal to n+sod(n) for n = 221012010211095 and 221012010211104.

It is not an unprimeable number, because it can be changed into a prime (221012010211121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559118353 + ... + 559513499.

It is an arithmetic number, because the mean of its divisors is an integer number (2754059064120).

Almost surely, 2^{221012010211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012010211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264389670155520).

221012010211122 is an abundant number, since it is smaller than the sum of its proper divisors (307767330099918).

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

221012010211122 is a wasteful number, since it uses less digits than its factorization.

221012010211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395617 (or 395614 counting only the distinct ones).

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

Adding to 221012010211122 its reverse (221112010210122), we get a palindrome (442124020421244).

The spelling of 221012010211122 in words is "two hundred twenty-one trillion, twelve billion, ten million, two hundred eleven thousand, one hundred twenty-two".