211101010001100 has 216 divisors, whose sum is σ = 682569471122448. Its totient is φ = 54544326566400.

The previous prime is 211101010001081. The next prime is 211101010001113. The reversal of 211101010001100 is 1100010101112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 25017159 + ... + 32373758.

Almost surely, 2^{211101010001100} is an apocalyptic number.

211101010001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101010001100 is an abundant number, since it is smaller than the sum of its proper divisors (471468461121348).

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

211101010001100 is a wasteful number, since it uses less digits than its factorization.

211101010001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57391065 (or 57391055 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211101010001100 its reverse (1100010101112), we get a palindrome (212201020102212).

The spelling of 211101010001100 in words is "two hundred eleven trillion, one hundred one billion, ten million, one thousand, one hundred".