101000441400221 has 32 divisors (see below), whose sum is σ = 110518239283200. Its totient is φ = 91539195612480.

The previous prime is 101000441400191. The next prime is 101000441400227. The reversal of 101000441400221 is 122004144000101.

It is not a de Polignac number, because 101000441400221 - 2²⁶ = 101000374291357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000441400193 and 101000441400202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000441400227) 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, 15715018010 + ... + 15715024436.

It is an arithmetic number, because the mean of its divisors is an integer number (3453694977600).

Almost surely, 2^{101000441400221} is an apocalyptic number.

101000441400221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000441400221 is a deficient number, since it is larger than the sum of its proper divisors (9517797882979).

101000441400221 is a wasteful number, since it uses less digits than its factorization.

101000441400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101000441400221 its reverse (122004144000101), we get a palindrome (223004585400322).

The spelling of 101000441400221 in words is "one hundred one trillion, four hundred forty-one million, four hundred thousand, two hundred twenty-one".