1011101121101 has 8 divisors (see below), whose sum is σ = 1064327059680. Its totient is φ = 957876191568.

The previous prime is 1011101121029. The next prime is 1011101121143. The reversal of 1011101121101 is 1011211011101.

It is a happy number.

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 1011101121101 - 2¹⁰ = 1011101120077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101121301) 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, 2676590 + ... + 3030896.

It is an arithmetic number, because the mean of its divisors is an integer number (133040882460).

Almost surely, 2^{1011101121101} is an apocalyptic number.

It is an amenable number.

1011101121101 is a deficient number, since it is larger than the sum of its proper divisors (53225938579).

1011101121101 is a wasteful number, since it uses less digits than its factorization.

1011101121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504523.

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

Adding to 1011101121101 its reverse (1011211011101), we get a palindrome (2022312132202).

The spelling of 1011101121101 in words is "one trillion, eleven billion, one hundred one million, one hundred twenty-one thousand, one hundred one".