220121112122010 has 144 divisors (see below), whose sum is σ = 629127013466952. Its totient is φ = 53358145378560.

The previous prime is 220121112121927. The next prime is 220121112122033. The reversal of 220121112122010 is 10221211121022.

220121112122010 is a `hidden beast` number, since 2 + 201 + 211 + 1 + 21 + 220 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 185813511983649 + 34307600138361 = 13631343^2 + 5857269^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127788024 + ... + 129499116.

Almost surely, 2^{220121112122010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220121112122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314563506733476).

220121112122010 is an abundant number, since it is smaller than the sum of its proper divisors (409005901344942).

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

220121112122010 is a wasteful number, since it uses less digits than its factorization.

220121112122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722941 (or 1722927 counting only the distinct ones).

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

Adding to 220121112122010 its reverse (10221211121022), we get a palindrome (230342323243032).

The spelling of 220121112122010 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, ten".