101102112011221 has 4 divisors (see below), whose sum is σ = 101142928368972. Its totient is φ = 101061295653472.

The previous prime is 101102112011213. The next prime is 101102112011281. The reversal of 101102112011221 is 122110211201101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 42902683400196 + 58199428611025 = 6550014^2 + 7628855^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102112011221 - 2³ = 101102112011213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102112011195 and 101102112011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102112011281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20408175160 + ... + 20408180113.

It is an arithmetic number, because the mean of its divisors is an integer number (25285732092243).

Almost surely, 2^{101102112011221} is an apocalyptic number.

It is an amenable number.

101102112011221 is a deficient number, since it is larger than the sum of its proper divisors (40816357751).

101102112011221 is an equidigital number, since it uses as much as digits as its factorization.

101102112011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40816357750.

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

Adding to 101102112011221 its reverse (122110211201101), we get a palindrome (223212323212322).

The spelling of 101102112011221 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, eleven thousand, two hundred twenty-one".