10220112111101 has 2 divisors, whose sum is σ = 10220112111102. Its totient is φ = 10220112111100.

The previous prime is 10220112111067. The next prime is 10220112111107. The reversal of 10220112111101 is 10111121102201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9776690632900 + 443421478201 = 3126770^2 + 665899^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220112111101 - 2³⁰ = 10219038369277 is a prime.

It is a super-3 number, since 3×10220112111101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10220112111107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110056055550 + 5110056055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5110056055551).

Almost surely, 2^{10220112111101} is an apocalyptic number.

It is an amenable number.

10220112111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220112111101 is an equidigital number, since it uses as much as digits as its factorization.

10220112111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10220112111101 its reverse (10111121102201), we get a palindrome (20331233213302).

The spelling of 10220112111101 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred one".