10112111121101 has 4 divisors (see below), whose sum is σ = 11031393950304. Its totient is φ = 9192828291900.

The previous prime is 10112111121089. The next prime is 10112111121107.

10112111121101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10112111121101 - 2¹⁴ = 10112111104717 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 (10112111121107) 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, 459641414585 + ... + 459641414606.

It is an arithmetic number, because the mean of its divisors is an integer number (2757848487576).

Almost surely, 2^{10112111121101} is an apocalyptic number.

10112111121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112111121101 is a deficient number, since it is larger than the sum of its proper divisors (919282829203).

10112111121101 is an equidigital number, since it uses as much as digits as its factorization.

10112111121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919282829202.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1011211 and 1121101, that multiplied together give a palindrome (1133669663311).

The spelling of 10112111121101 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".