101101202221221 has 24 divisors (see below), whose sum is σ = 147006031829696. Its totient is φ = 66952688529600.

The previous prime is 101101202221067. The next prime is 101101202221249. The reversal of 101101202221221 is 122122202101101.

101101202221221 is a `hidden beast` number, since 10 + 1 + 10 + 1 + 202 + 221 + 221 = 666.

It is not a de Polignac number, because 101101202221221 - 2⁹ = 101101202220709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101202221194 and 101101202221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101202201221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52106721 + ... + 54012153.

Almost surely, 2^{101101202221221} is an apocalyptic number.

It is an amenable number.

101101202221221 is a deficient number, since it is larger than the sum of its proper divisors (45904829608475).

101101202221221 is a wasteful number, since it uses less digits than its factorization.

101101202221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944633 (or 1944630 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101202221221 its reverse (122122202101101), we get a palindrome (223223404322322).

The spelling of 101101202221221 in words is "one hundred one trillion, one hundred one billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty-one".