1001101112011 has 36 divisors (see below), whose sum is σ = 1375655550984. Its totient is φ = 720072662400.

The previous prime is 1001101111993. The next prime is 1001101112041. The reversal of 1001101112011 is 1102111011001.

1001101112011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001101112011 - 2¹³ = 1001101103819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001101112041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5403970 + ... + 5586151.

It is an arithmetic number, because the mean of its divisors is an integer number (38212654194).

Almost surely, 2^{1001101112011} is an apocalyptic number.

1001101112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001101112011 is a deficient number, since it is larger than the sum of its proper divisors (374554438973).

1001101112011 is a wasteful number, since it uses less digits than its factorization.

1001101112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990172 (or 10990152 counting only the distinct ones).

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

Adding to 1001101112011 its reverse (1102111011001), we get a palindrome (2103212123012).

It can be divided in two parts, 100110 and 1112011, that added together give a palindrome (1212121).

The spelling of 1001101112011 in words is "one trillion, one billion, one hundred one million, one hundred twelve thousand, eleven".