211020011100100 has 72 divisors (see below), whose sum is σ = 473708587584960. Its totient is φ = 81496515569280.

The previous prime is 211020011100079. The next prime is 211020011100103. The reversal of 211020011100100 is 1001110020112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211020011100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316645839 + ... + 317311561.

It is an arithmetic number, because the mean of its divisors is an integer number (6579285938680).

Almost surely, 2^{211020011100100} is an apocalyptic number.

211020011100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020011100100 is an abundant number, since it is smaller than the sum of its proper divisors (262688576484860).

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

211020011100100 is a wasteful number, since it uses less digits than its factorization.

211020011100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775069 (or 775062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211020011100100 its reverse (1001110020112), we get a palindrome (212021121120212).

The spelling of 211020011100100 in words is "two hundred eleven trillion, twenty billion, eleven million, one hundred thousand, one hundred".