100211212200011 has 64 divisors (see below), whose sum is σ = 113753131785216. Its totient is φ = 87487639142400.

The previous prime is 100211212199999. The next prime is 100211212200013. The reversal of 100211212200011 is 110002212112001.

It is a cyclic number.

It is not a de Polignac number, because 100211212200011 - 2¹⁰ = 100211212198987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211212200013) 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 63 ways as a sum of consecutive naturals, for example, 15878813546 + ... + 15878819856.

It is an arithmetic number, because the mean of its divisors is an integer number (1777392684144).

Almost surely, 2^{100211212200011} is an apocalyptic number.

100211212200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211212200011 is a deficient number, since it is larger than the sum of its proper divisors (13541919585205).

100211212200011 is a wasteful number, since it uses less digits than its factorization.

100211212200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211212200011 its reverse (110002212112001), we get a palindrome (210213424312012).

The spelling of 100211212200011 in words is "one hundred trillion, two hundred eleven billion, two hundred twelve million, two hundred thousand, eleven".