221020211122000 has 160 divisors (see below), whose sum is σ = 539751355273728. Its totient is φ = 87527384000000.

The previous prime is 221020211121979. The next prime is 221020211122003. The reversal of 221020211122000 is 221112020122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020211122003) 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, 5613762315 + ... + 5613801685.

Almost surely, 2^{221020211122000} is an apocalyptic number.

221020211122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269875677636864).

221020211122000 is an abundant number, since it is smaller than the sum of its proper divisors (318731144151728).

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

221020211122000 is a wasteful number, since it uses less digits than its factorization.

221020211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67286 (or 67270 counting only the distinct ones).

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

Adding to 221020211122000 its reverse (221112020122), we get a palindrome (221241323142122).

The spelling of 221020211122000 in words is "two hundred twenty-one trillion, twenty billion, two hundred eleven million, one hundred twenty-two thousand".