100111002102211 has 4 divisors (see below), whose sum is σ = 100111063857552. Its totient is φ = 100110940346872.

The previous prime is 100111002102191. The next prime is 100111002102227. The reversal of 100111002102211 is 112201200111001.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 100111002102211 - 2⁹ = 100111002101699 is a prime.

It is a super-2 number, since 2×100111002102211² (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 = 100111002102191 and 100111002102200.

It is not an unprimeable number, because it can be changed into a prime (100111002102271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28378615 + ... + 31710688.

It is an arithmetic number, because the mean of its divisors is an integer number (25027765964388).

Almost surely, 2^{100111002102211} is an apocalyptic number.

100111002102211 is a deficient number, since it is larger than the sum of its proper divisors (61755341).

100111002102211 is an equidigital number, since it uses as much as digits as its factorization.

100111002102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61755340.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111002102211 its reverse (112201200111001), we get a palindrome (212312202213212).

The spelling of 100111002102211 in words is "one hundred trillion, one hundred eleven billion, two million, one hundred two thousand, two hundred eleven".