101001112000221 has 4 divisors (see below), whose sum is σ = 134668149333632. Its totient is φ = 67334074666812.

The previous prime is 101001112000207. The next prime is 101001112000231. The reversal of 101001112000221 is 122000211100101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101001112000221 - 2³⁷ = 100863673046749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001112000197 and 101001112000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001112000231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16833518666701 + ... + 16833518666706.

It is an arithmetic number, because the mean of its divisors is an integer number (33667037333408).

Almost surely, 2^{101001112000221} is an apocalyptic number.

It is an amenable number.

101001112000221 is a deficient number, since it is larger than the sum of its proper divisors (33667037333411).

101001112000221 is an equidigital number, since it uses as much as digits as its factorization.

101001112000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33667037333410.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001112000221 its reverse (122000211100101), we get a palindrome (223001323100322).

The spelling of 101001112000221 in words is "one hundred one trillion, one billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.