100010010112211 has 4 divisors (see below), whose sum is σ = 100010090437800. Its totient is φ = 100009929786624.

The previous prime is 100010010112183. The next prime is 100010010112289. The reversal of 100010010112211 is 112211010010001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010010112211 is a prime.

It is a super-2 number, since 2×100010010112211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010010112192 and 100010010112201.

It is not an unprimeable number, because it can be changed into a prime (100010010112511) 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 in 3 ways as a sum of consecutive naturals, for example, 38265326 + ... + 40795283.

It is an arithmetic number, because the mean of its divisors is an integer number (25002522609450).

Almost surely, 2^{100010010112211} is an apocalyptic number.

100010010112211 is a deficient number, since it is larger than the sum of its proper divisors (80325589).

100010010112211 is an equidigital number, since it uses as much as digits as its factorization.

100010010112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80325588.

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

Adding to 100010010112211 its reverse (112211010010001), we get a palindrome (212221020122212).

The spelling of 100010010112211 in words is "one hundred trillion, ten billion, ten million, one hundred twelve thousand, two hundred eleven".