221101021001120 has 192 divisors, whose sum is σ = 569714481745920. Its totient is φ = 80595171790848.

The previous prime is 221101021001017. The next prime is 221101021001153. The reversal of 221101021001120 is 21100120101122.

It is a super-2 number, since 2×221101021001120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221101021001095 and 221101021001104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624563794 + ... + 1624699886.

It is an arithmetic number, because the mean of its divisors is an integer number (2967262925760).

Almost surely, 2^{221101021001120} is an apocalyptic number.

221101021001120 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 221101021001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284857240872960).

221101021001120 is an abundant number, since it is smaller than the sum of its proper divisors (348613460744800).

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

221101021001120 is a wasteful number, since it uses less digits than its factorization.

221101021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146087 (or 146079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221101021001120 its reverse (21100120101122), we get a palindrome (242201141102242).

The spelling of 221101021001120 in words is "two hundred twenty-one trillion, one hundred one billion, twenty-one million, one thousand, one hundred twenty".