211011211110021 has 16 divisors (see below), whose sum is σ = 322172604124800. Its totient is φ = 120340943293248.

The previous prime is 211011211110013. The next prime is 211011211110079. The reversal of 211011211110021 is 120011112110112.

It is not a de Polignac number, because 211011211110021 - 2³ = 211011211110013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211011211110521) 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 15 ways as a sum of consecutive naturals, for example, 9870473506 + ... + 9870494883.

It is an arithmetic number, because the mean of its divisors is an integer number (20135787757800).

Almost surely, 2^{211011211110021} is an apocalyptic number.

211011211110021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211011211110021 is a deficient number, since it is larger than the sum of its proper divisors (111161393014779).

211011211110021 is a wasteful number, since it uses less digits than its factorization.

211011211110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19740968908.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211011211110021 its reverse (120011112110112), we get a palindrome (331022323220133).

The spelling of 211011211110021 in words is "two hundred eleven trillion, eleven billion, two hundred eleven million, one hundred ten thousand, twenty-one".