123101131210201 has 8 divisors (see below), whose sum is σ = 124033808057544. Its totient is φ = 122171941006080.

The previous prime is 123101131210199. The next prime is 123101131210207. The reversal of 123101131210201 is 102012131101321.

It can be written as a sum of positive squares in 4 ways, for example, as 29055765315600 + 94045365894601 = 5390340^2 + 9697699^2 .

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 123101131210201 - 2¹ = 123101131210199 is a prime.

It is a super-3 number, since 3×123101131210201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123101131210207) 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, 871589926 + ... + 871731151.

It is an arithmetic number, because the mean of its divisors is an integer number (15504226007193).

Almost surely, 2^{123101131210201} is an apocalyptic number.

It is an amenable number.

123101131210201 is a deficient number, since it is larger than the sum of its proper divisors (932676847343).

123101131210201 is a wasteful number, since it uses less digits than its factorization.

123101131210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743321611.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 123101131210201 its reverse (102012131101321), we get a palindrome (225113262311522).

The spelling of 123101131210201 in words is "one hundred twenty-three trillion, one hundred one billion, one hundred thirty-one million, two hundred ten thousand, two hundred one".