10010122102011 has 48 divisors (see below), whose sum is σ = 14711317710848. Its totient is φ = 6046755840000.

The previous prime is 10010122101997. The next prime is 10010122102021. The reversal of 10010122102011 is 11020122101001.

It is not a de Polignac number, because 10010122102011 - 2¹⁰ = 10010122100987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010122102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4222386 + ... + 6152136.

Almost surely, 2^{10010122102011} is an apocalyptic number.

10010122102011 is a deficient number, since it is larger than the sum of its proper divisors (4701195608837).

10010122102011 is a wasteful number, since it uses less digits than its factorization.

10010122102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930012 (or 1929995 counting only the distinct ones).

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

Adding to 10010122102011 its reverse (11020122101001), we get a palindrome (21030244203012).

The spelling of 10010122102011 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred two thousand, eleven".