101000221111221 has 16 divisors (see below), whose sum is σ = 134853192830784. Its totient is φ = 67240376066304.

The previous prime is 101000221111217. The next prime is 101000221111243. The reversal of 101000221111221 is 122111122000101.

It is a happy number.

It is not a de Polignac number, because 101000221111221 - 2² = 101000221111217 is a prime.

It is a super-2 number, since 2×101000221111221² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101000221111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000221111271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35589490 + ... + 38322476.

It is an arithmetic number, because the mean of its divisors is an integer number (8428324551924).

Almost surely, 2^{101000221111221} is an apocalyptic number.

It is an amenable number.

101000221111221 is a deficient number, since it is larger than the sum of its proper divisors (33852971719563).

101000221111221 is a wasteful number, since it uses less digits than its factorization.

101000221111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750020.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101000221111221 its reverse (122111122000101), we get a palindrome (223111343111322).

The spelling of 101000221111221 in words is "one hundred one trillion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".