100211102200011 has 32 divisors (see below), whose sum is σ = 146243982044160. Its totient is φ = 60533341034400.

The previous prime is 100211102199997. The next prime is 100211102200021. The reversal of 100211102200011 is 110002201112001.

It is not a de Polignac number, because 100211102200011 - 2⁷ = 100211102199883 is a prime.

It is a super-3 number, since 3×100211102200011³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100211102200011.

It is not an unprimeable number, because it can be changed into a prime (100211102200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7980580 + ... + 16251518.

It is an arithmetic number, because the mean of its divisors is an integer number (4570124438880).

Almost surely, 2^{100211102200011} is an apocalyptic number.

100211102200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211102200011 is a deficient number, since it is larger than the sum of its proper divisors (46032879844149).

100211102200011 is a wasteful number, since it uses less digits than its factorization.

100211102200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272167.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211102200011 its reverse (110002201112001), we get a palindrome (210213303312012).

The spelling of 100211102200011 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, two hundred thousand, eleven".