10721011697101 has 8 divisors (see below), whose sum is σ = 10724698307960. Its totient is φ = 10717325332992.

The previous prime is 10721011697087. The next prime is 10721011697129. The reversal of 10721011697101 is 10179611012701.

It can be written as a sum of positive squares in 4 ways, for example, as 5968742496201 + 4752269200900 = 2443101^2 + 2179970^2 .

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 10721011697101 - 2⁵ = 10721011697069 is a prime.

It is a super-2 number, since 2×10721011697101² (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 (10721011697131) 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 7 ways as a sum of consecutive naturals, for example, 137917621 + ... + 137995333.

It is an arithmetic number, because the mean of its divisors is an integer number (1340587288495).

Almost surely, 2^{10721011697101} is an apocalyptic number.

It is an amenable number.

10721011697101 is a deficient number, since it is larger than the sum of its proper divisors (3686610859).

10721011697101 is an equidigital number, since it uses as much as digits as its factorization.

10721011697101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123375.

The product of its (nonzero) digits is 5292, while the sum is 37.

The spelling of 10721011697101 in words is "ten trillion, seven hundred twenty-one billion, eleven million, six hundred ninety-seven thousand, one hundred one".