221020112122000 has 160 divisors (see below), whose sum is σ = 579665044000224. Its totient is φ = 81178118144000.

The previous prime is 221020112121989. The next prime is 221020112122001. The reversal of 221020112122000 is 221211020122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 194943810723984 + 26076301398016 = 13962228^2 + 5106496^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221020112122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77881507 + ... + 80669506.

Almost surely, 2^{221020112122000} is an apocalyptic number.

221020112122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020112122000 is an abundant number, since it is smaller than the sum of its proper divisors (358644931878224).

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

221020112122000 is a wasteful number, since it uses less digits than its factorization.

221020112122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158551094 (or 158551078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221020112122000 its reverse (221211020122), we get a palindrome (221241323142122).

The spelling of 221020112122000 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand".