10514101001 has 8 divisors (see below), whose sum is σ = 10593034920. Its totient is φ = 10435456512.

The previous prime is 10514100991. The next prime is 10514101007. The reversal of 10514101001 is 10010141501.

It can be written as a sum of positive squares in 4 ways, for example, as 1032015625 + 9482085376 = 32125^2 + 97376^2 .

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 10514101001 - 2⁶ = 10514100937 is a prime.

It is a super-2 number, since 2×10514101001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10514101007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845 + ... + 145013.

It is an arithmetic number, because the mean of its divisors is an integer number (1324129365).

Almost surely, 2^10514101001 is an apocalyptic number.

It is an amenable number.

10514101001 is a deficient number, since it is larger than the sum of its proper divisors (78933919).

10514101001 is a wasteful number, since it uses less digits than its factorization.

10514101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144715.

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 10514101001 its reverse (10010141501), we get a palindrome (20524242502).

The spelling of 10514101001 in words is "ten billion, five hundred fourteen million, one hundred one thousand, one".