1011121112101 has 8 divisors (see below), whose sum is σ = 1024040875520. Its totient is φ = 998204367888.

The previous prime is 1011121112039. The next prime is 1011121112107. The reversal of 1011121112101 is 1012111211101.

1011121112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1011121112101 - 2²⁷ = 1010986894373 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 (1011121112107) 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, 76866 + ... + 1424131.

It is an arithmetic number, because the mean of its divisors is an integer number (128005109440).

Almost surely, 2^{1011121112101} is an apocalyptic number.

It is an amenable number.

1011121112101 is a deficient number, since it is larger than the sum of its proper divisors (12919763419).

1011121112101 is an equidigital number, since it uses as much as digits as its factorization.

1011121112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509603.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011121112101 its reverse (1012111211101), we get a palindrome (2023232323202).

It can be divided in two parts, 10 and 11121112101, that added together give a palindrome (11121112111).

The spelling of 1011121112101 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".