1011101101001 has 8 divisors (see below), whose sum is σ = 1093355884800. Its totient is φ = 931377233728.

The previous prime is 1011101100979. The next prime is 1011101101007. The reversal of 1011101101001 is 1001011011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011101101001 - 2¹⁸ = 1011100838857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011101101001.

It is not an unprimeable number, because it can be changed into a prime (1011101101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632728301 + ... + 632729898.

It is an arithmetic number, because the mean of its divisors is an integer number (136669485600).

Almost surely, 2^{1011101101001} is an apocalyptic number.

It is an amenable number.

1011101101001 is a deficient number, since it is larger than the sum of its proper divisors (82254783799).

1011101101001 is a wasteful number, since it uses less digits than its factorization.

1011101101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265458263.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011101101001 its reverse (1001011011101), we get a palindrome (2012112112102).

The spelling of 1011101101001 in words is "one trillion, eleven billion, one hundred one million, one hundred one thousand, one".