10010121110001 has 12 divisors (see below), whose sum is σ = 14472008391412. Its totient is φ = 6667439658336.

The previous prime is 10010121109979. The next prime is 10010121110021. The reversal of 10010121110001 is 10001112101001.

It can be written as a sum of positive squares in 2 ways, for example, as 1380627350001 + 8629493760000 = 1175001^2 + 2937600^2 .

It is not a de Polignac number, because 10010121110001 - 2¹³ = 10010121101809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010121110021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497857306 + ... + 497877411.

Almost surely, 2^{10010121110001} is an apocalyptic number.

It is an amenable number.

10010121110001 is a deficient number, since it is larger than the sum of its proper divisors (4461887281411).

10010121110001 is a wasteful number, since it uses less digits than its factorization.

10010121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995735840 (or 995735837 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010121110001 its reverse (10001112101001), we get a palindrome (20011233211002).

The spelling of 10010121110001 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred ten thousand, one".