10100101222011 has 64 divisors (see below), whose sum is σ = 14126550220800. Its totient is φ = 6412674635136.

The previous prime is 10100101221989. The next prime is 10100101222021. The reversal of 10100101222011 is 11022210100101.

It is not a de Polignac number, because 10100101222011 - 2⁷ = 10100101221883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100101222021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 851389266 + ... + 851401128.

It is an arithmetic number, because the mean of its divisors is an integer number (220727347200).

Almost surely, 2^{10100101222011} is an apocalyptic number.

10100101222011 is a deficient number, since it is larger than the sum of its proper divisors (4026448998789).

10100101222011 is a wasteful number, since it uses less digits than its factorization.

10100101222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688.

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

Adding to 10100101222011 its reverse (11022210100101), we get a palindrome (21122311322112).

The spelling of 10100101222011 in words is "ten trillion, one hundred billion, one hundred one million, two hundred twenty-two thousand, eleven".