101201212012221 has 12 divisors (see below), whose sum is σ = 146180133727680. Its totient is φ = 67467195321480.

The previous prime is 101201212012217. The next prime is 101201212012237. The reversal of 101201212012221 is 122210212102101.

101201212012221 is a `hidden beast` number, since 1 + 0 + 120 + 121 + 201 + 2 + 221 = 666.

It is not a de Polignac number, because 101201212012221 - 2² = 101201212012217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101201212012194 and 101201212012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201212012261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20973045 + ... + 25343066.

It is an arithmetic number, because the mean of its divisors is an integer number (12181677810640).

Almost surely, 2^{101201212012221} is an apocalyptic number.

It is an amenable number.

101201212012221 is a deficient number, since it is larger than the sum of its proper divisors (44978921715459).

101201212012221 is a wasteful number, since it uses less digits than its factorization.

101201212012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46558896 (or 46558893 counting only the distinct ones).

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

Adding to 101201212012221 its reverse (122210212102101), we get a palindrome (223411424114322).

The spelling of 101201212012221 in words is "one hundred one trillion, two hundred one billion, two hundred twelve million, twelve thousand, two hundred twenty-one".