10011002102011 has 16 divisors (see below), whose sum is σ = 10626081073920. Its totient is φ = 9410992382880.

The previous prime is 10011002101999. The next prime is 10011002102021. The reversal of 10011002102011 is 11020120011001.

It is a cyclic number.

It is not a de Polignac number, because 10011002102011 - 2¹¹ = 10011002099963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011002102021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4271176 + ... + 6185866.

It is an arithmetic number, because the mean of its divisors is an integer number (664130067120).

Almost surely, 2^{10011002102011} is an apocalyptic number.

10011002102011 is a deficient number, since it is larger than the sum of its proper divisors (615078971909).

10011002102011 is a wasteful number, since it uses less digits than its factorization.

10011002102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918626.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011002102011 its reverse (11020120011001), we get a palindrome (21031122113012).

The spelling of 10011002102011 in words is "ten trillion, eleven billion, two million, one hundred two thousand, eleven".