10414143203121 has 64 divisors (see below), whose sum is σ = 17705933199360. Its totient is φ = 5926134312000.

The previous prime is 10414143203003. The next prime is 10414143203143. The reversal of 10414143203121 is 12130234141401.

It is a happy number.

10414143203121 is a `hidden beast` number, since 1 + 0 + 4 + 14 + 14 + 320 + 312 + 1 = 666.

It is not a de Polignac number, because 10414143203121 - 2¹⁸ = 10414142940977 is a prime.

It is a super-2 number, since 2×10414143203121² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10414143203171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304873375 + ... + 304907531.

It is an arithmetic number, because the mean of its divisors is an integer number (276655206240).

Almost surely, 2^{10414143203121} is an apocalyptic number.

It is an amenable number.

10414143203121 is a deficient number, since it is larger than the sum of its proper divisors (7291789996239).

10414143203121 is a wasteful number, since it uses less digits than its factorization.

10414143203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40851 (or 40845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10414143203121 its reverse (12130234141401), we get a palindrome (22544377344522).

It can be divided in two parts, 1041414320 and 3121, that added together give a square (1041417441 = 32271²).

The spelling of 10414143203121 in words is "ten trillion, four hundred fourteen billion, one hundred forty-three million, two hundred three thousand, one hundred twenty-one".