10301122123101 has 48 divisors (see below), whose sum is σ = 15307923744256. Its totient is φ = 6671381004288.

The previous prime is 10301122123087. The next prime is 10301122123139. The reversal of 10301122123101 is 10132122110301.

10301122123101 is a `hidden beast` number, since 1 + 0 + 30 + 112 + 212 + 310 + 1 = 666.

It is not a de Polignac number, because 10301122123101 - 2³¹ = 10298974639453 is a prime.

It is a super-2 number, since 2×10301122123101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301122123141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375159165 + ... + 375186621.

Almost surely, 2^{10301122123101} is an apocalyptic number.

It is an amenable number.

10301122123101 is a deficient number, since it is larger than the sum of its proper divisors (5006801621155).

10301122123101 is a wasteful number, since it uses less digits than its factorization.

10301122123101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32722 (or 32719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10301122123101 its reverse (10132122110301), we get a palindrome (20433244233402).

The spelling of 10301122123101 in words is "ten trillion, three hundred one billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred one".