100211322031011 has 64 divisors (see below), whose sum is σ = 158550487603200. Its totient is φ = 62337445406208.

The previous prime is 100211322030979. The next prime is 100211322031019. The reversal of 100211322031011 is 110130223112001.

100211322031011 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 1 + 322 + 0 + 310 + 11 = 666.

It is not a de Polignac number, because 100211322031011 - 2⁵ = 100211322030979 is a prime.

It is a super-2 number, since 2×100211322031011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211322031019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23631670 + ... + 27547748.

It is an arithmetic number, because the mean of its divisors is an integer number (2477351368800).

Almost surely, 2^{100211322031011} is an apocalyptic number.

100211322031011 is a deficient number, since it is larger than the sum of its proper divisors (58339165572189).

100211322031011 is a wasteful number, since it uses less digits than its factorization.

100211322031011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916585 (or 3916579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100211322031011 its reverse (110130223112001), we get a palindrome (210341545143012).

The spelling of 100211322031011 in words is "one hundred trillion, two hundred eleven billion, three hundred twenty-two million, thirty-one thousand, eleven".