101112001002221 has 4 divisors (see below), whose sum is σ = 110304001093344. Its totient is φ = 91920000911100.

The previous prime is 101112001002217. The next prime is 101112001002307. The reversal of 101112001002221 is 122200100211101.

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 a cyclic number.

It is not a de Polignac number, because 101112001002221 - 2² = 101112001002217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112001002196 and 101112001002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112001007221) 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, 4596000045545 + ... + 4596000045566.

It is an arithmetic number, because the mean of its divisors is an integer number (27576000273336).

Almost surely, 2^{101112001002221} is an apocalyptic number.

101112001002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112001002221 is a deficient number, since it is larger than the sum of its proper divisors (9192000091123).

101112001002221 is an equidigital number, since it uses as much as digits as its factorization.

101112001002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192000091122.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101112001002221 its reverse (122200100211101), we get a palindrome (223312101213322).

The spelling of 101112001002221 in words is "one hundred one trillion, one hundred twelve billion, one million, two thousand, two hundred twenty-one".