10101000001121 has 4 divisors (see below), whose sum is σ = 10101010854852. Its totient is φ = 10100989147392.

The previous prime is 10101000001097. The next prime is 10101000001123. The reversal of 10101000001121 is 12110000010101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1864467357025 + 8236532644096 = 1365455^2 + 2869936^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000001121 - 2²² = 10100995806817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101000001099 and 10101000001108.

It is not an unprimeable number, because it can be changed into a prime (10101000001123) 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, 3884840 + ... + 5940873.

It is an arithmetic number, because the mean of its divisors is an integer number (2525252713713).

Almost surely, 2^{10101000001121} is an apocalyptic number.

It is an amenable number.

10101000001121 is a deficient number, since it is larger than the sum of its proper divisors (10853731).

10101000001121 is an equidigital number, since it uses as much as digits as its factorization.

10101000001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10853730.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10101000001121 its reverse (12110000010101), we get a palindrome (22211000011222).

The spelling of 10101000001121 in words is "ten trillion, one hundred one billion, one thousand, one hundred twenty-one".