100211002102211 has 32 divisors (see below), whose sum is σ = 136754759801856. Its totient is φ = 70898204880000.

The previous prime is 100211002102207. The next prime is 100211002102331. The reversal of 100211002102211 is 112201200112001.

It is a cyclic number.

It is not a de Polignac number, because 100211002102211 - 2² = 100211002102207 is a prime.

It is a super-2 number, since 2×100211002102211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211002102411) 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, 820520015 + ... + 820642136.

It is an arithmetic number, because the mean of its divisors is an integer number (4273586243808).

Almost surely, 2^{100211002102211} is an apocalyptic number.

100211002102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211002102211 is a deficient number, since it is larger than the sum of its proper divisors (36543757699645).

100211002102211 is a wasteful number, since it uses less digits than its factorization.

100211002102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641162243.

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

Adding to 100211002102211 its reverse (112201200112001), we get a palindrome (212412202214212).

The spelling of 100211002102211 in words is "one hundred trillion, two hundred eleven billion, two million, one hundred two thousand, two hundred eleven".