101023321022001 has 48 divisors (see below), whose sum is σ = 173731713966720. Its totient is φ = 55365051536640.

The previous prime is 101023321021963. The next prime is 101023321022017. The reversal of 101023321022001 is 100220123320101.

101023321022001 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 233 + 210 + 220 + 0 + 1 = 666.

It is not a de Polignac number, because 101023321022001 - 2⁶ = 101023321021937 is a prime.

It is a super-2 number, since 2×101023321022001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101023321024001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331295470 + ... + 331600263.

It is an arithmetic number, because the mean of its divisors is an integer number (3619410707640).

Almost surely, 2^{101023321022001} is an apocalyptic number.

It is an amenable number.

101023321022001 is a deficient number, since it is larger than the sum of its proper divisors (72708392944719).

101023321022001 is a wasteful number, since it uses less digits than its factorization.

101023321022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662895846 (or 662895843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101023321022001 its reverse (100220123320101), we get a palindrome (201243444342102).

The spelling of 101023321022001 in words is "one hundred one trillion, twenty-three billion, three hundred twenty-one million, twenty-two thousand, one".