10721012431127 has 16 divisors (see below), whose sum is σ = 10833831851040. Its totient is φ = 10608431887872.

The previous prime is 10721012431091. The next prime is 10721012431133. The reversal of 10721012431127 is 72113421012701.

It is a cyclic number.

It is not a de Polignac number, because 10721012431127 - 2⁸ = 10721012430871 is a prime.

It is a super-2 number, since 2×10721012431127² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10721012431093 and 10721012431102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721012431147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597961499 + ... + 597979427.

It is an arithmetic number, because the mean of its divisors is an integer number (677114490690).

Almost surely, 2^{10721012431127} is an apocalyptic number.

10721012431127 is a deficient number, since it is larger than the sum of its proper divisors (112819419913).

10721012431127 is a wasteful number, since it uses less digits than its factorization.

10721012431127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24242.

The product of its (nonzero) digits is 4704, while the sum is 32.

Adding to 10721012431127 its reverse (72113421012701), we get a palindrome (82834433443828).

The spelling of 10721012431127 in words is "ten trillion, seven hundred twenty-one billion, twelve million, four hundred thirty-one thousand, one hundred twenty-seven".