1010122201011 has 256 divisors, whose sum is σ = 1842650726400. Its totient is φ = 476534016000.

The previous prime is 1010122201007. The next prime is 1010122201013. The reversal of 1010122201011 is 1101022210101.

It is not a de Polignac number, because 1010122201011 - 2² = 1010122201007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010122201013) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3755100985 + ... + 3755101253.

It is an arithmetic number, because the mean of its divisors is an integer number (7197854400).

Almost surely, 2^{1010122201011} is an apocalyptic number.

1010122201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1010122201011 is a deficient number, since it is larger than the sum of its proper divisors (832528525389).

1010122201011 is a wasteful number, since it uses less digits than its factorization.

1010122201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010122201011 its reverse (1101022210101), we get a palindrome (2111144411112).

The spelling of 1010122201011 in words is "one trillion, ten billion, one hundred twenty-two million, two hundred one thousand, eleven".