10200101110011 has 32 divisors (see below), whose sum is σ = 15776185989120. Its totient is φ = 6501147884352.

The previous prime is 10200101110009. The next prime is 10200101110013. The reversal of 10200101110011 is 11001110100201.

It is an interprime number because it is at equal distance from previous prime (10200101110009) and next prime (10200101110013).

It is not a de Polignac number, because 10200101110011 - 2¹ = 10200101110009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200101109975 and 10200101110002.

It is not an unprimeable number, because it can be changed into a prime (10200101110013) 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 31 ways as a sum of consecutive naturals, for example, 2883091 + ... + 5358396.

It is an arithmetic number, because the mean of its divisors is an integer number (493005812160).

Almost surely, 2^{10200101110011} is an apocalyptic number.

10200101110011 is a deficient number, since it is larger than the sum of its proper divisors (5576084879109).

10200101110011 is a wasteful number, since it uses less digits than its factorization.

10200101110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243512 (or 8243506 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10200101110011 its reverse (11001110100201), we get a palindrome (21201211210212).

The spelling of 10200101110011 in words is "ten trillion, two hundred billion, one hundred one million, one hundred ten thousand, eleven".