1001011221111 has 16 divisors (see below), whose sum is σ = 1457789827968. Its totient is φ = 605934506400.

The previous prime is 1001011221107. The next prime is 1001011221139. The reversal of 1001011221111 is 1111221101001.

1001011221111 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001011221111 - 2² = 1001011221107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011221101) 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, 18446521 + ... + 18500706.

It is an arithmetic number, because the mean of its divisors is an integer number (91111864248).

Almost surely, 2^{1001011221111} is an apocalyptic number.

1001011221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001011221111 is a deficient number, since it is larger than the sum of its proper divisors (456778606857).

1001011221111 is a wasteful number, since it uses less digits than its factorization.

1001011221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36948062.

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

Adding to 1001011221111 its reverse (1111221101001), we get a palindrome (2112232322112).

The spelling of 1001011221111 in words is "one trillion, one billion, eleven million, two hundred twenty-one thousand, one hundred eleven".