1011101121001 has 8 divisors (see below), whose sum is σ = 1014286404960. Its totient is φ = 1007919904992.

The previous prime is 1011101120933. The next prime is 1011101121007. The reversal of 1011101121001 is 1001211011101.

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 1011101121001 - 2⁹ = 1011101120489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011101121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518716 + ... + 1513693.

It is an arithmetic number, because the mean of its divisors is an integer number (126785800620).

Almost surely, 2^{1011101121001} is an apocalyptic number.

It is an amenable number.

1011101121001 is a deficient number, since it is larger than the sum of its proper divisors (3185283959).

1011101121001 is a wasteful number, since it uses less digits than its factorization.

1011101121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033975.

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

Adding to 1011101121001 its reverse (1001211011101), we get a palindrome (2012312132102).

The spelling of 1011101121001 in words is "one trillion, eleven billion, one hundred one million, one hundred twenty-one thousand, one".