101221121022201 has 24 divisors (see below), whose sum is σ = 152993066171400. Its totient is φ = 64418133102336.

The previous prime is 101221121022113. The next prime is 101221121022221. The reversal of 101221121022201 is 102220121122101.

101221121022201 is a `hidden beast` number, since 10 + 1 + 221 + 1 + 210 + 2 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27191427411600 + 74029693610601 = 5214540^2 + 8604051^2 .

It is not a de Polignac number, because 101221121022201 - 2¹⁴ = 101221121005817 is a prime.

It is a super-2 number, since 2×101221121022201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101221121022221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2867598676 + ... + 2867633973.

It is an arithmetic number, because the mean of its divisors is an integer number (6374711090475).

Almost surely, 2^{101221121022201} is an apocalyptic number.

It is an amenable number.

101221121022201 is a deficient number, since it is larger than the sum of its proper divisors (51771945149199).

101221121022201 is a wasteful number, since it uses less digits than its factorization.

101221121022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735232745 (or 5735232742 counting only the distinct ones).

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

Adding to 101221121022201 its reverse (102220121122101), we get a palindrome (203441242144302).

The spelling of 101221121022201 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, twenty-two thousand, two hundred one".