100010021110211 has 2 divisors, whose sum is σ = 100010021110212. Its totient is φ = 100010021110210.

The previous prime is 100010021110169. The next prime is 100010021110319. The reversal of 100010021110211 is 112011120010001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010021110211 is a prime.

It is a super-2 number, since 2×100010021110211² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010021110192 and 100010021110201.

It is not a weakly prime, because it can be changed into another prime (100010021115211) 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 as a sum of consecutive naturals, namely, 50005010555105 + 50005010555106.

It is an arithmetic number, because the mean of its divisors is an integer number (50005010555106).

Almost surely, 2^{100010021110211} is an apocalyptic number.

100010021110211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010021110211 is an equidigital number, since it uses as much as digits as its factorization.

100010021110211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100010021110211 its reverse (112011120010001), we get a palindrome (212021141120212).

The spelling of 100010021110211 in words is "one hundred trillion, ten billion, twenty-one million, one hundred ten thousand, two hundred eleven".