211001201210100 has 144 divisors (see below), whose sum is σ = 738752441067648. Its totient is φ = 45391855042560.

The previous prime is 211001201209937. The next prime is 211001201210123. The reversal of 211001201210100 is 1012102100112.

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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955163197 + ... + 2955234596.

It is an arithmetic number, because the mean of its divisors is an integer number (5130225285192).

Almost surely, 2^{211001201210100} is an apocalyptic number.

211001201210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001201210100 is an abundant number, since it is smaller than the sum of its proper divisors (527751239857548).

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

211001201210100 is a wasteful number, since it uses less digits than its factorization.

211001201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910397834 (or 5910397827 counting only the distinct ones).

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

Adding to 211001201210100 its reverse (1012102100112), we get a palindrome (212013303310212).

The spelling of 211001201210100 in words is "two hundred eleven trillion, one billion, two hundred one million, two hundred ten thousand, one hundred".