1001101121111 has 16 divisors (see below), whose sum is σ = 1241826238464. Its totient is φ = 785843148384.

The previous prime is 1001101121107. The next prime is 1001101121173. The reversal of 1001101121111 is 1111211011001.

It is a happy number.

It is not a de Polignac number, because 1001101121111 - 2² = 1001101121107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001101121092 and 1001101121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101121611) 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, 43299905 + ... + 43323018.

It is an arithmetic number, because the mean of its divisors is an integer number (77614139904).

Almost surely, 2^{1001101121111} is an apocalyptic number.

1001101121111 is a deficient number, since it is larger than the sum of its proper divisors (240725117353).

1001101121111 is a wasteful number, since it uses less digits than its factorization.

1001101121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86623070.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1001101121111 its reverse (1111211011001), we get a palindrome (2112312132112).

It can be divided in two parts, 100110 and 1121111, that added together give a palindrome (1221221).

The spelling of 1001101121111 in words is "one trillion, one billion, one hundred one million, one hundred twenty-one thousand, one hundred eleven".