10202100110011 has 16 divisors (see below), whose sum is σ = 11380293396000. Its totient is φ = 9088984055808.

The previous prime is 10202100109969. The next prime is 10202100110017. The reversal of 10202100110011 is 11001100120201.

It is a cyclic number.

It is not a de Polignac number, because 10202100110011 - 2¹³ = 10202100101819 is a prime.

It is a Duffinian number.

10202100110011 is a modest number, since divided by 110011 gives 102021 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10202100110011.

It is not an unprimeable number, because it can be changed into a prime (10202100110017) 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 15 ways as a sum of consecutive naturals, for example, 12852486 + ... + 13623163.

It is an arithmetic number, because the mean of its divisors is an integer number (711268337250).

Almost surely, 2^{10202100110011} is an apocalyptic number.

10202100110011 is a deficient number, since it is larger than the sum of its proper divisors (1178193285989).

10202100110011 is a wasteful number, since it uses less digits than its factorization.

10202100110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26476878.

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

Adding to 10202100110011 its reverse (11001100120201), we get a palindrome (21203200230212).

The spelling of 10202100110011 in words is "ten trillion, two hundred two billion, one hundred million, one hundred ten thousand, eleven".