1111011012001 has 16 divisors (see below), whose sum is σ = 1246154870016. Its totient is φ = 981739440000.

The previous prime is 1111011011989. The next prime is 1111011012011. The reversal of 1111011012001 is 1002101101111.

It is a de Polignac number, because none of the positive numbers 2^k-1111011012001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1111011012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4422870 + ... + 4667311.

It is an arithmetic number, because the mean of its divisors is an integer number (77884679376).

Almost surely, 2^{1111011012001} is an apocalyptic number.

1111011012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1111011012001 is a deficient number, since it is larger than the sum of its proper divisors (135143858015).

1111011012001 is a wasteful number, since it uses less digits than its factorization.

1111011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090504.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1111011012001 its reverse (1002101101111), we get a palindrome (2113112113112).

It can be divided in two parts, 11110110 and 12001, that added together give a palindrome (11122111).

The spelling of 1111011012001 in words is "one trillion, one hundred eleven billion, eleven million, twelve thousand, one".