10721755671121 has 48 divisors (see below), whose sum is σ = 12746335896000. Its totient is φ = 8981584128000.

The previous prime is 10721755671049. The next prime is 10721755671167. The reversal of 10721755671121 is 12117655712701.

It is not a de Polignac number, because 10721755671121 - 2⁷ = 10721755670993 is a prime.

It is a super-2 number, since 2×10721755671121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10721755671181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31027905 + ... + 31371553.

It is an arithmetic number, because the mean of its divisors is an integer number (265548664500).

Almost surely, 2^{10721755671121} is an apocalyptic number.

10721755671121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10721755671121 is a deficient number, since it is larger than the sum of its proper divisors (2024580224879).

10721755671121 is a wasteful number, since it uses less digits than its factorization.

10721755671121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344062 (or 344051 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 46.

The spelling of 10721755671121 in words is "ten trillion, seven hundred twenty-one billion, seven hundred fifty-five million, six hundred seventy-one thousand, one hundred twenty-one".