10000211100011 has 16 divisors (see below), whose sum is σ = 11403032594688. Its totient is φ = 8681021580000.

The previous prime is 10000211099999. The next prime is 10000211100017. The reversal of 10000211100011 is 11000111200001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10000211100011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000211100017) 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, 33519740 + ... + 33816761.

It is an arithmetic number, because the mean of its divisors is an integer number (712689537168).

Almost surely, 2^{10000211100011} is an apocalyptic number.

10000211100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000211100011 is a deficient number, since it is larger than the sum of its proper divisors (1402821494677).

10000211100011 is a wasteful number, since it uses less digits than its factorization.

10000211100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67337122.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10000211100011 its reverse (11000111200001), we get a palindrome (21000322300012).

The spelling of 10000211100011 in words is "ten trillion, two hundred eleven million, one hundred thousand, eleven".