1011022224101 has 2 divisors, whose sum is σ = 1011022224102. Its totient is φ = 1011022224100.

The previous prime is 1011022224071. The next prime is 1011022224169. The reversal of 1011022224101 is 1014222201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 860265525025 + 150756699076 = 927505^2 + 388274^2 .

It is an emirp because it is prime and its reverse (1014222201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011022224101 - 2¹⁰ = 1011022223077 is a prime.

It is a super-2 number, since 2×1011022224101² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011022224101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011022224301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505511112050 + 505511112051.

It is an arithmetic number, because the mean of its divisors is an integer number (505511112051).

Almost surely, 2^{1011022224101} is an apocalyptic number.

It is an amenable number.

1011022224101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011022224101 is an equidigital number, since it uses as much as digits as its factorization.

1011022224101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1011022224101 its reverse (1014222201101), we get a palindrome (2025244425202).

The spelling of 1011022224101 in words is "one trillion, eleven billion, twenty-two million, two hundred twenty-four thousand, one hundred one".