101322112321001 has 16 divisors (see below), whose sum is σ = 120214340301888. Its totient is φ = 84183711672000.

The previous prime is 101322112320967. The next prime is 101322112321019. The reversal of 101322112321001 is 100123211223101.

It is a cyclic number.

It is not a de Polignac number, because 101322112321001 - 2¹⁴ = 101322112304617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101322112351001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3507640211 + ... + 3507669096.

It is an arithmetic number, because the mean of its divisors is an integer number (7513396268868).

Almost surely, 2^{101322112321001} is an apocalyptic number.

101322112321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101322112321001 is a deficient number, since it is larger than the sum of its proper divisors (18892227980887).

101322112321001 is a wasteful number, since it uses less digits than its factorization.

101322112321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7015309432.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101322112321001 its reverse (100123211223101), we get a palindrome (201445323544102).

The spelling of 101322112321001 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twelve million, three hundred twenty-one thousand, one".