10201132123121 has 4 divisors (see below), whose sum is σ = 10201770787572. Its totient is φ = 10200493458672.

The previous prime is 10201132123069. The next prime is 10201132123123. The reversal of 10201132123121 is 12132123110201.

10201132123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3732701280400 + 6468430842721 = 1932020^2 + 2543311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201132123121 - 2¹⁸ = 10201131860977 is a prime.

It is a super-4 number, since 4×10201132123121⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201132123093 and 10201132123102.

It is not an unprimeable number, because it can be changed into a prime (10201132123123) 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, 319308266 + ... + 319340211.

It is an arithmetic number, because the mean of its divisors is an integer number (2550442696893).

Almost surely, 2^{10201132123121} is an apocalyptic number.

It is an amenable number.

10201132123121 is a deficient number, since it is larger than the sum of its proper divisors (638664451).

10201132123121 is an equidigital number, since it uses as much as digits as its factorization.

10201132123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638664450.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10201132123121 its reverse (12132123110201), we get a palindrome (22333255233322).

The spelling of 10201132123121 in words is "ten trillion, two hundred one billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty-one".