101021222221121 has 4 divisors (see below), whose sum is σ = 101021242388052. Its totient is φ = 101021202054192.

The previous prime is 101021222221079. The next prime is 101021222221123. The reversal of 101021222221121 is 121122222120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44747804784400 + 56273417436721 = 6689380^2 + 7501561^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021222221121 - 2¹⁰ = 101021222220097 is a prime.

It is a super-2 number, since 2×101021222221121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101021222221093 and 101021222221102.

It is not an unprimeable number, because it can be changed into a prime (101021222221123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3827711 + ... + 14720523.

It is an arithmetic number, because the mean of its divisors is an integer number (25255310597013).

Almost surely, 2^{101021222221121} is an apocalyptic number.

It is an amenable number.

101021222221121 is a deficient number, since it is larger than the sum of its proper divisors (20166931).

101021222221121 is an equidigital number, since it uses as much as digits as its factorization.

101021222221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166930.

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

Adding to 101021222221121 its reverse (121122222120101), we get a palindrome (222143444341222).

The spelling of 101021222221121 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".