1001101111221 has 32 divisors (see below), whose sum is σ = 1385368178688. Its totient is φ = 642618697280.

The previous prime is 1001101111189. The next prime is 1001101111259. The reversal of 1001101111221 is 1221111011001.

It is not a de Polignac number, because 1001101111221 - 2⁵ = 1001101111189 is a prime.

It is a super-2 number, since 2×1001101111221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001101111197 and 1001101111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4568071 + ... + 4782203.

It is an arithmetic number, because the mean of its divisors is an integer number (43292755584).

Almost surely, 2^{1001101111221} is an apocalyptic number.

It is an amenable number.

1001101111221 is a deficient number, since it is larger than the sum of its proper divisors (384267067467).

1001101111221 is a wasteful number, since it uses less digits than its factorization.

1001101111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214721.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001101111221 its reverse (1221111011001), we get a palindrome (2222212122222).

The spelling of 1001101111221 in words is "one trillion, one billion, one hundred one million, one hundred eleven thousand, two hundred twenty-one".