10000221111001 has 16 divisors (see below), whose sum is σ = 10918187043840. Its totient is φ = 9083732091280.

The previous prime is 10000221110879. The next prime is 10000221111007. The reversal of 10000221111001 is 10011112200001.

It is not a de Polignac number, because 10000221111001 - 2³⁵ = 9965861372633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000221111007) 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, 300407580 + ... + 300440866.

It is an arithmetic number, because the mean of its divisors is an integer number (682386690240).

Almost surely, 2^{10000221111001} is an apocalyptic number.

10000221111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000221111001 is a deficient number, since it is larger than the sum of its proper divisors (917965932839).

10000221111001 is a wasteful number, since it uses less digits than its factorization.

10000221111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54644.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000221111001 its reverse (10011112200001), we get a palindrome (20011333311002).

The spelling of 10000221111001 in words is "ten trillion, two hundred twenty-one million, one hundred eleven thousand, one".