101122122010221 has 12 divisors (see below), whose sum is σ = 157301078682748. Its totient is φ = 62228998160064.

The previous prime is 101122122010219. The next prime is 101122122010229. The reversal of 101122122010221 is 122010221221101.

101122122010221 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 221 + 220 + 1 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13980158390025 + 87141963620196 = 3739005^2 + 9334986^2 .

It is not a de Polignac number, because 101122122010221 - 2¹ = 101122122010219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122122010194 and 101122122010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122122010229) 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, 432145820440 + ... + 432145820673.

Almost surely, 2^{101122122010221} is an apocalyptic number.

It is an amenable number.

101122122010221 is a deficient number, since it is larger than the sum of its proper divisors (56178956672527).

101122122010221 is a wasteful number, since it uses less digits than its factorization.

101122122010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864291641132 (or 864291641129 counting only the distinct ones).

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

Adding to 101122122010221 its reverse (122010221221101), we get a palindrome (223132343231322).

The spelling of 101122122010221 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, two hundred twenty-one".