100572221 has 16 divisors (see below), whose sum is σ = 109671408. Its totient is φ = 91852800.

The previous prime is 100572211. The next prime is 100572223. The reversal of 100572221 is 122275001.

It can be written as a sum of positive squares in 8 ways, for example, as 30096196 + 70476025 = 5486^2 + 8395^2 .

It is a cyclic number.

It is not a de Polignac number, because 100572221 - 2¹⁴ = 100555837 is a prime.

It is a super-2 number, since 2×100572221² = 20229543273745682, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100572193 and 100572202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100572223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217931 + ... + 218391.

It is an arithmetic number, because the mean of its divisors is an integer number (6854463).

Almost surely, 2^100572221 is an apocalyptic number.

It is an amenable number.

100572221 is a deficient number, since it is larger than the sum of its proper divisors (9099187).

100572221 is a wasteful number, since it uses less digits than its factorization.

100572221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 100572221 is about 10028.5702370777. The cubic root of 100572221 is about 465.0425382135.

The spelling of 100572221 in words is "one hundred million, five hundred seventy-two thousand, two hundred twenty-one".