10000101001001 has 12 divisors (see below), whose sum is σ = 10633817986428. Its totient is φ = 9402226071552.

The previous prime is 10000101000979. The next prime is 10000101001043. The reversal of 10000101001001 is 10010010100001.

It can be written as a sum of positive squares in 6 ways, for example, as 2147221315600 + 7852879685401 = 1465340^2 + 2802299^2 .

It is not a de Polignac number, because 10000101001001 - 2¹⁴ = 10000100984617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000101001201) 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, 17426156 + ... + 17990861.

It is an arithmetic number, because the mean of its divisors is an integer number (886151498869).

Almost surely, 2^{10000101001001} is an apocalyptic number.

It is an amenable number.

10000101001001 is a deficient number, since it is larger than the sum of its proper divisors (633716985427).

10000101001001 is an equidigital number, since it uses as much as digits as its factorization.

10000101001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35418028 (or 35418011 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000101001001 its reverse (10010010100001), we get a palindrome (20010111101002).

The spelling of 10000101001001 in words is "ten trillion, one hundred one million, one thousand, one".