101120221101221 has 32 divisors (see below), whose sum is σ = 121278008832000. Its totient is φ = 82433968531200.

The previous prime is 101120221101203. The next prime is 101120221101299. The reversal of 101120221101221 is 122101122021101.

It is a cyclic number.

It is not a de Polignac number, because 101120221101221 - 2³⁰ = 101119147359397 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101120221101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120221101521) 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 31 ways as a sum of consecutive naturals, for example, 46646246 + ... + 48765896.

It is an arithmetic number, because the mean of its divisors is an integer number (3789937776000).

Almost surely, 2^{101120221101221} is an apocalyptic number.

It is an amenable number.

101120221101221 is a deficient number, since it is larger than the sum of its proper divisors (20157787730779).

101120221101221 is a wasteful number, since it uses less digits than its factorization.

101120221101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121369.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101120221101221 its reverse (122101122021101), we get a palindrome (223221343122322).

The spelling of 101120221101221 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-one".