110002022120101 has 2 divisors, whose sum is σ = 110002022120102. Its totient is φ = 110002022120100.

The previous prime is 110002022120099. The next prime is 110002022120131. The reversal of 110002022120101 is 101021220200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72865173932100 + 37136848188001 = 8536110^2 + 6094001^2 .

It is a cyclic number.

It is not a de Polignac number, because 110002022120101 - 2¹ = 110002022120099 is a prime.

It is a super-2 number, since 2×110002022120101² (a number of 29 digits) contains 22 as substring.

Together with 110002022120099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110002022120131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001011060050 + 55001011060051.

It is an arithmetic number, because the mean of its divisors is an integer number (55001011060051).

Almost surely, 2^{110002022120101} is an apocalyptic number.

It is an amenable number.

110002022120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002022120101 is an equidigital number, since it uses as much as digits as its factorization.

110002022120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110002022120101 its reverse (101021220200011), we get a palindrome (211023242320112).

The spelling of 110002022120101 in words is "one hundred ten trillion, two billion, twenty-two million, one hundred twenty thousand, one hundred one".