1011101120001 has 48 divisors (see below), whose sum is σ = 1671896603520. Its totient is φ = 576811549440.

The previous prime is 1011101119981. The next prime is 1011101120023. The reversal of 1011101120001 is 1000211011101.

It is not a de Polignac number, because 1011101120001 - 2⁶ = 1011101119937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1011101120101) 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 47 ways as a sum of consecutive naturals, for example, 111215466 + ... + 111224556.

It is an arithmetic number, because the mean of its divisors is an integer number (34831179240).

Almost surely, 2^{1011101120001} is an apocalyptic number.

It is an amenable number.

1011101120001 is a deficient number, since it is larger than the sum of its proper divisors (660795483519).

1011101120001 is a wasteful number, since it uses less digits than its factorization.

1011101120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011101120001 its reverse (1000211011101), we get a palindrome (2011312131102).

The spelling of 1011101120001 in words is "one trillion, eleven billion, one hundred one million, one hundred twenty thousand, one".