101014221 has 64 divisors (see below), whose sum is σ = 184135680. Its totient is φ = 47631360.

The previous prime is 101014217. The next prime is 101014247. The reversal of 101014221 is 122410101.

It is a happy number.

It is not a de Polignac number, because 101014221 - 2² = 101014217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101014197 and 101014206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113440 + ... + 114326.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120).

Almost surely, 2^101014221 is an apocalyptic number.

101014221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101014221 is a deficient number, since it is larger than the sum of its proper divisors (83121459).

101014221 is a wasteful number, since it uses less digits than its factorization.

101014221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954.

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

The square root of 101014221 is about 10050.5831174116. The cubic root of 101014221 is about 465.7228069600.

Adding to 101014221 its reverse (122410101), we get a palindrome (223424322).

The spelling of 101014221 in words is "one hundred one million, fourteen thousand, two hundred twenty-one".