221020112022000 has 160 divisors (see below), whose sum is σ = 712885441292544. Its totient is φ = 58912509600000.

The previous prime is 221020112021981. The next prime is 221020112022013. The reversal of 221020112022000 is 220211020122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5323707 + ... + 21688293.

Almost surely, 2^{221020112022000} is an apocalyptic number.

221020112022000 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 221020112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356442720646272).

221020112022000 is an abundant number, since it is smaller than the sum of its proper divisors (491865329270544).

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

221020112022000 is a wasteful number, since it uses less digits than its factorization.

221020112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366864 (or 16366848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221020112022000 its reverse (220211020122), we get a palindrome (221240323042122).

The spelling of 221020112022000 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, twenty-two thousand".