101101221221 has 64 divisors (see below), whose sum is σ = 139134912000. Its totient is φ = 72394560000.

The previous prime is 101101221191. The next prime is 101101221253. The reversal of 101101221221 is 122122101101.

It is a de Polignac number, because none of the positive numbers 2^k-101101221221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101221196 and 101101221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101221281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11227721 + ... + 11236721.

It is an arithmetic number, because the mean of its divisors is an integer number (2173983000).

Almost surely, 2^101101221221 is an apocalyptic number.

101101221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101221221 is a deficient number, since it is larger than the sum of its proper divisors (38033690779).

101101221221 is a wasteful number, since it uses less digits than its factorization.

101101221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9275 (or 9261 counting only the distinct ones).

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

Adding to 101101221221 its reverse (122122101101), we get a palindrome (223223322322).

The spelling of 101101221221 in words is "one hundred one billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty-one".