101221222122101 has 16 divisors (see below), whose sum is σ = 104249955011328. Its totient is φ = 98220393849600.

The previous prime is 101221222122049. The next prime is 101221222122121.

101221222122101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101221222122101 - 2³⁰ = 101220148380277 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 (101221222122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237640 + ... + 14281953.

It is an arithmetic number, because the mean of its divisors is an integer number (6515622188208).

Almost surely, 2^{101221222122101} is an apocalyptic number.

It is an amenable number.

101221222122101 is a deficient number, since it is larger than the sum of its proper divisors (3028732889227).

101221222122101 is a wasteful number, since it uses less digits than its factorization.

101221222122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520492.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 101221222122101 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".