10723619688101 has 16 divisors (see below), whose sum is σ = 10888536356208. Its totient is φ = 10559195712000.

The previous prime is 10723619688073. The next prime is 10723619688113. The reversal of 10723619688101 is 10188691632701.

It can be written as a sum of positive squares in 8 ways, for example, as 1608836023201 + 9114783664900 = 1268399^2 + 3019070^2 .

It is a cyclic number.

It is not a de Polignac number, because 10723619688101 - 2¹⁸ = 10723619425957 is a prime.

It is a super-2 number, since 2×10723619688101² (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 (10723619688121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331153931 + ... + 331186311.

It is an arithmetic number, because the mean of its divisors is an integer number (680533522263).

Almost surely, 2^{10723619688101} is an apocalyptic number.

It is an amenable number.

10723619688101 is a deficient number, since it is larger than the sum of its proper divisors (164916668107).

10723619688101 is an equidigital number, since it uses as much as digits as its factorization.

10723619688101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39832.

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 10723619688101 in words is "ten trillion, seven hundred twenty-three billion, six hundred nineteen million, six hundred eighty-eight thousand, one hundred one".