101122020202221 has 12 divisors (see below), whose sum is σ = 150012846786972. Its totient is φ = 65592661752576.

The previous prime is 101122020202219. The next prime is 101122020202243. The reversal of 101122020202221 is 122202020221101.

It is a happy number.

101122020202221 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 220 + 20 + 202 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63020893644900 + 38101126557321 = 7938570^2 + 6172611^2 .

It is not a de Polignac number, because 101122020202221 - 2¹ = 101122020202219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122020202194 and 101122020202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122020200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151834864836 + ... + 151834865501.

It is an arithmetic number, because the mean of its divisors is an integer number (12501070565581).

Almost surely, 2^{101122020202221} is an apocalyptic number.

It is an amenable number.

101122020202221 is a deficient number, since it is larger than the sum of its proper divisors (48890826584751).

101122020202221 is a wasteful number, since it uses less digits than its factorization.

101122020202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303669730380 (or 303669730377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101122020202221 its reverse (122202020221101), we get a palindrome (223324040423322).

The spelling of 101122020202221 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, two hundred two thousand, two hundred twenty-one".