221022100101000 has 512 divisors, whose sum is σ = 779699359296000. Its totient is φ = 51654661632000.

The previous prime is 221022100100941. The next prime is 221022100101007. The reversal of 221022100101000 is 101001220122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (221022100101007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132258646 + ... + 133919354.

It is an arithmetic number, because the mean of its divisors is an integer number (1522850311125).

Almost surely, 2^{221022100101000} is an apocalyptic number.

221022100101000 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 221022100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389849679648000).

221022100101000 is an abundant number, since it is smaller than the sum of its proper divisors (558677259195000).

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

221022100101000 is a wasteful number, since it uses less digits than its factorization.

221022100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660890 (or 1660876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221022100101000 its reverse (101001220122), we get a palindrome (221123101321122).

The spelling of 221022100101000 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred million, one hundred one thousand".