1011121131101 has 4 divisors (see below), whose sum is σ = 1012698543804. Its totient is φ = 1009543718400.

The previous prime is 1011121131077. The next prime is 1011121131131. The reversal of 1011121131101 is 1011311211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 490176415876 + 520944715225 = 700126^2 + 721765^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011121131101 - 2³⁴ = 993941261917 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 (1011121131131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788705390 + ... + 788706671.

It is an arithmetic number, because the mean of its divisors is an integer number (253174635951).

Almost surely, 2^{1011121131101} is an apocalyptic number.

It is an amenable number.

1011121131101 is a deficient number, since it is larger than the sum of its proper divisors (1577412703).

1011121131101 is an equidigital number, since it uses as much as digits as its factorization.

1011121131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577412702.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1011121131101 its reverse (1011311211101), we get a palindrome (2022432342202).

The spelling of 1011121131101 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred one".