211301012232100 has 144 divisors (see below), whose sum is σ = 524708816486400. Its totient is φ = 72351752699520.

The previous prime is 211301012232053. The next prime is 211301012232127. The reversal of 211301012232100 is 1232210103112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8306171181 + ... + 8306196619.

It is an arithmetic number, because the mean of its divisors is an integer number (3643811225600).

Almost surely, 2^{211301012232100} is an apocalyptic number.

211301012232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211301012232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262354408243200).

211301012232100 is an abundant number, since it is smaller than the sum of its proper divisors (313407804254300).

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

211301012232100 is a wasteful number, since it uses less digits than its factorization.

211301012232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40442 (or 40435 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211301012232100 its reverse (1232210103112), we get a palindrome (212533222335212).

The spelling of 211301012232100 in words is "two hundred eleven trillion, three hundred one billion, twelve million, two hundred thirty-two thousand, one hundred".