221122012121010 has 768 divisors, whose sum is σ = 828110286581760. Its totient is φ = 40950482549760.

The previous prime is 221122012121009. The next prime is 221122012121099. The reversal of 221122012121010 is 10121210221122.

221122012121010 is a `hidden beast` number, since 2 + 211 + 220 + 1 + 21 + 210 + 1 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 68973129 + ... + 72107811.

It is an arithmetic number, because the mean of its divisors is an integer number (1078268602320).

Almost surely, 2^{221122012121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221122012121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414055143290880).

221122012121010 is an abundant number, since it is smaller than the sum of its proper divisors (606988274460750).

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

221122012121010 is a wasteful number, since it uses less digits than its factorization.

221122012121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134765 (or 3134753 counting only the distinct ones).

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

Adding to 221122012121010 its reverse (10121210221122), we get a palindrome (231243222342132).

The spelling of 221122012121010 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, twelve million, one hundred twenty-one thousand, ten".