101000112321001 has 16 divisors (see below), whose sum is σ = 102376502452224. Its totient is φ = 99631393698384.

The previous prime is 101000112320977. The next prime is 101000112321049. The reversal of 101000112321001 is 100123211000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101000112321001 - 2¹⁵ = 101000112288233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000112321071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360875220 + ... + 361154986.

It is an arithmetic number, because the mean of its divisors is an integer number (6398531403264).

Almost surely, 2^{101000112321001} is an apocalyptic number.

It is an amenable number.

101000112321001 is a deficient number, since it is larger than the sum of its proper divisors (1376390131223).

101000112321001 is a wasteful number, since it uses less digits than its factorization.

101000112321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293460.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101000112321001 its reverse (100123211000101), we get a palindrome (201123323321102).

The spelling of 101000112321001 in words is "one hundred one trillion, one hundred twelve million, three hundred twenty-one thousand, one".