211110013401100 has 144 divisors (see below), whose sum is σ = 538888552675200. Its totient is φ = 70953067584000.

The previous prime is 211110013401071. The next prime is 211110013401103. The reversal of 211110013401100 is 1104310011112.

It is not an unprimeable number, because it can be changed into a prime (211110013401103) by changing a digit.

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, 122325510 + ... + 124039309.

It is an arithmetic number, because the mean of its divisors is an integer number (3742281615800).

Almost surely, 2^{211110013401100} is an apocalyptic number.

211110013401100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110013401100 is an abundant number, since it is smaller than the sum of its proper divisors (327778539274100).

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

211110013401100 is a wasteful number, since it uses less digits than its factorization.

211110013401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246364904 (or 246364897 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 211110013401100 its reverse (1104310011112), we get a palindrome (212214323412212).

The spelling of 211110013401100 in words is "two hundred eleven trillion, one hundred ten billion, thirteen million, four hundred one thousand, one hundred".