221000101007 has 24 divisors (see below), whose sum is σ = 260895548160. Its totient is φ = 186628806000.

The previous prime is 221000101001. The next prime is 221000101037. The reversal of 221000101007 is 700101000122.

It is not a de Polignac number, because 221000101007 - 2⁸ = 221000100751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221000100982 and 221000101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746632 + ... + 1868882.

It is an arithmetic number, because the mean of its divisors is an integer number (10870647840).

Almost surely, 2^221000101007 is an apocalyptic number.

221000101007 is a deficient number, since it is larger than the sum of its proper divisors (39895447153).

221000101007 is a wasteful number, since it uses less digits than its factorization.

221000101007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122811 (or 122804 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

Adding to 221000101007 its reverse (700101000122), we get a palindrome (921101101129).

The spelling of 221000101007 in words is "two hundred twenty-one billion, one hundred one thousand, seven".