10100000122221 has 16 divisors (see below), whose sum is σ = 13471605917120. Its totient is φ = 6730864318080.

The previous prime is 10100000122217. The next prime is 10100000122273. The reversal of 10100000122221 is 12222100000101.

It is not a de Polignac number, because 10100000122221 - 2² = 10100000122217 is a prime.

It is a Duffinian number.

10100000122221 is a modest number, since divided by 122221 gives 1010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10100000122197 and 10100000122206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000122211) 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, 101244915 + ... + 101344623.

It is an arithmetic number, because the mean of its divisors is an integer number (841975369820).

Almost surely, 2^{10100000122221} is an apocalyptic number.

It is an amenable number.

10100000122221 is a deficient number, since it is larger than the sum of its proper divisors (3371605794899).

10100000122221 is an equidigital number, since it uses as much as digits as its factorization.

10100000122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111756.

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

Adding to 10100000122221 its reverse (12222100000101), we get a palindrome (22322100122322).

The spelling of 10100000122221 in words is "ten trillion, one hundred billion, one hundred twenty-two thousand, two hundred twenty-one".