101121021221221 has 16 divisors (see below), whose sum is σ = 109812613363200. Its totient is φ = 92883168705600.

The previous prime is 101121021221191. The next prime is 101121021221243. The reversal of 101121021221221 is 122122120121101.

It is a happy number.

It is not a de Polignac number, because 101121021221221 - 2⁷ = 101121021221093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121021221921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953181450 + ... + 953287531.

It is an arithmetic number, because the mean of its divisors is an integer number (6863288335200).

Almost surely, 2^{101121021221221} is an apocalyptic number.

It is an amenable number.

101121021221221 is a deficient number, since it is larger than the sum of its proper divisors (8691592141979).

101121021221221 is a wasteful number, since it uses less digits than its factorization.

101121021221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906469100.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101121021221221 its reverse (122122120121101), we get a palindrome (223243141342322).

The spelling of 101121021221221 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".