1001101121110 has 64 divisors (see below), whose sum is σ = 1922061081600. Its totient is φ = 374323203072.

The previous prime is 1001101121107. The next prime is 1001101121173. The reversal of 1001101121110 is 111211011001.

1001101121110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24400774 + ... + 24441766.

It is an arithmetic number, because the mean of its divisors is an integer number (30032204400).

Almost surely, 2^{1001101121110} is an apocalyptic number.

1001101121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001101121110 is a deficient number, since it is larger than the sum of its proper divisors (920959960490).

1001101121110 is a wasteful number, since it uses less digits than its factorization.

1001101121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42725.

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

Adding to 1001101121110 its reverse (111211011001), we get a palindrome (1112312132111).

It can be divided in two parts, 1001101 and 121110, that added together give a palindrome (1122211).

The spelling of 1001101121110 in words is "one trillion, one billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".