10221111100001 has 2 divisors, whose sum is σ = 10221111100002. Its totient is φ = 10221111100000.

The previous prime is 10221111099973. The next prime is 10221111100049. The reversal of 10221111100001 is 10000111112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9309943488400 + 911167611601 = 3051220^2 + 954551^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221111100001 - 2¹⁰ = 10221111098977 is a prime.

It is a super-2 number, since 2×10221111100001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10221111100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110555550000 + 5110555550001.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555550001).

Almost surely, 2^{10221111100001} is an apocalyptic number.

It is an amenable number.

10221111100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221111100001 is an equidigital number, since it uses as much as digits as its factorization.

10221111100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10221111100001 its reverse (10000111112201), we get a palindrome (20221222212202).

The spelling of 10221111100001 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one".