101221000441 has 8 divisors (see below), whose sum is σ = 112506361344. Its totient is φ = 90282881520.

The previous prime is 101221000421. The next prime is 101221000459. The reversal of 101221000441 is 144000122101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221000441 - 2¹⁷ = 101220869369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221000411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86809881 + ... + 86811046.

It is an arithmetic number, because the mean of its divisors is an integer number (14063295168).

Almost surely, 2^101221000441 is an apocalyptic number.

101221000441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221000441 is a deficient number, since it is larger than the sum of its proper divisors (11285360903).

101221000441 is a wasteful number, since it uses less digits than its factorization.

101221000441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173620991.

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

Adding to 101221000441 its reverse (144000122101), we get a palindrome (245221122542).

The spelling of 101221000441 in words is "one hundred one billion, two hundred twenty-one million, four hundred forty-one", and thus it is an aban number.