101110022220121 has 8 divisors (see below), whose sum is σ = 104734747222920. Its totient is φ = 97494508718208.

The previous prime is 101110022220041. The next prime is 101110022220157. The reversal of 101110022220121 is 121022220011101.

It can be written as a sum of positive squares in 4 ways, for example, as 16647746427225 + 84462275792896 = 4080165^2 + 9190336^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110022220121 - 2¹⁵ = 101110022187353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110022220095 and 101110022220104.

It is not an unprimeable number, because it can be changed into a prime (101110022229121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2302852876 + ... + 2302896781.

It is an arithmetic number, because the mean of its divisors is an integer number (13091843402865).

Almost surely, 2^{101110022220121} is an apocalyptic number.

It is an amenable number.

101110022220121 is a deficient number, since it is larger than the sum of its proper divisors (3624725002799).

101110022220121 is an equidigital number, since it uses as much as digits as its factorization.

101110022220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605750443.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101110022220121 its reverse (121022220011101), we get a palindrome (222132242231222).

The spelling of 101110022220121 in words is "one hundred one trillion, one hundred ten billion, twenty-two million, two hundred twenty thousand, one hundred twenty-one".