1001221101111 has 32 divisors (see below), whose sum is σ = 1664779954176. Its totient is φ = 519985980000.

The previous prime is 1001221101103. The next prime is 1001221101131. The reversal of 1001221101111 is 1111011221001.

It is not a de Polignac number, because 1001221101111 - 2³ = 1001221101103 is a prime.

It is a super-3 number, since 3×1001221101111³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400816 + ... + 1470746.

It is an arithmetic number, because the mean of its divisors is an integer number (52024373568).

Almost surely, 2^{1001221101111} is an apocalyptic number.

1001221101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001221101111 is a deficient number, since it is larger than the sum of its proper divisors (663558853065).

1001221101111 is a wasteful number, since it uses less digits than its factorization.

1001221101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074003.

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

Adding to 1001221101111 its reverse (1111011221001), we get a palindrome (2112232322112).

The spelling of 1001221101111 in words is "one trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred eleven".