211202100110100 has 144 divisors (see below), whose sum is σ = 666638518029120. Its totient is φ = 51199903180800.

The previous prime is 211202100110093. The next prime is 211202100110129. The reversal of 211202100110100 is 1011001202112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319416636 + ... + 320077164.

It is an arithmetic number, because the mean of its divisors is an integer number (4629434152980).

Almost surely, 2^{211202100110100} is an apocalyptic number.

211202100110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202100110100 is an abundant number, since it is smaller than the sum of its proper divisors (455436417919020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211202100110100 is a wasteful number, since it uses less digits than its factorization.

211202100110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757450 (or 757443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211202100110100 its reverse (1011001202112), we get a palindrome (212213101312212).

The spelling of 211202100110100 in words is "two hundred eleven trillion, two hundred two billion, one hundred million, one hundred ten thousand, one hundred".