10101001322001 has 32 divisors (see below), whose sum is σ = 14363670988800. Its totient is φ = 6291917948160.

The previous prime is 10101001321981. The next prime is 10101001322017. The reversal of 10101001322001 is 10022310010101.

10101001322001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101001322001 - 2¹⁵ = 10101001289233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101001322021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169248396 + ... + 169308066.

It is an arithmetic number, because the mean of its divisors is an integer number (448864718400).

Almost surely, 2^{10101001322001} is an apocalyptic number.

It is an amenable number.

10101001322001 is a deficient number, since it is larger than the sum of its proper divisors (4262669666799).

10101001322001 is a wasteful number, since it uses less digits than its factorization.

10101001322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83709.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10101001322001 its reverse (10022310010101), we get a palindrome (20123311332102).

The spelling of 10101001322001 in words is "ten trillion, one hundred one billion, one million, three hundred twenty-two thousand, one".