1022112201101 has 2 divisors, whose sum is σ = 1022112201102. Its totient is φ = 1022112201100.

The previous prime is 1022112201079. The next prime is 1022112201179. The reversal of 1022112201101 is 1011022112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 798145692100 + 223966509001 = 893390^2 + 473251^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022112201101 - 2³⁰ = 1021038459277 is a prime.

It is a super-2 number, since 2×1022112201101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022112201181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511056100550 + 511056100551.

It is an arithmetic number, because the mean of its divisors is an integer number (511056100551).

Almost surely, 2^{1022112201101} is an apocalyptic number.

It is an amenable number.

1022112201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022112201101 is an equidigital number, since it uses as much as digits as its factorization.

1022112201101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1022112201101 its reverse (1011022112201), we get a palindrome (2033134313302).

It can be divided in two parts, 1022112201 and 101, that multiplied together give a palindrome (103233332301).

The spelling of 1022112201101 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred one".