100211211200211 has 8 divisors (see below), whose sum is σ = 134198419657680. Its totient is φ = 66515738438112.

The previous prime is 100211211200201. The next prime is 100211211200231. The reversal of 100211211200211 is 112002112112001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100211211200211 - 2¹³ = 100211211192019 is a prime.

It is a super-2 number, since 2×100211211200211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211211200201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72933923040 + ... + 72933924413.

It is an arithmetic number, because the mean of its divisors is an integer number (16774802457210).

Almost surely, 2^{100211211200211} is an apocalyptic number.

100211211200211 is a deficient number, since it is larger than the sum of its proper divisors (33987208457469).

100211211200211 is a wasteful number, since it uses less digits than its factorization.

100211211200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145867847685.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100211211200211 its reverse (112002112112001), we get a palindrome (212213323312212).

The spelling of 100211211200211 in words is "one hundred trillion, two hundred eleven billion, two hundred eleven million, two hundred thousand, two hundred eleven".