10010111201001 has 36 divisors (see below), whose sum is σ = 15176575919232. Its totient is φ = 6354894839904.

The previous prime is 10010111200987. The next prime is 10010111201071. The reversal of 10010111201001 is 10010211101001.

It is not a de Polignac number, because 10010111201001 - 2²³ = 10010102812393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10010111201071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8063925 + ... + 9222098.

It is an arithmetic number, because the mean of its divisors is an integer number (421571553312).

Almost surely, 2^{10010111201001} is an apocalyptic number.

It is an amenable number.

10010111201001 is a deficient number, since it is larger than the sum of its proper divisors (5166464718231).

10010111201001 is a wasteful number, since it uses less digits than its factorization.

10010111201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286150 (or 17286110 counting only the distinct ones).

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

Adding to 10010111201001 its reverse (10010211101001), we get a palindrome (20020322302002).

The spelling of 10010111201001 in words is "ten trillion, ten billion, one hundred eleven million, two hundred one thousand, one".