210012011111100 has 288 divisors, whose sum is σ = 680831636486400. Its totient is φ = 49532958259200.

The previous prime is 210012011111051. The next prime is 210012011111107. The reversal of 210012011111100 is 1111110210012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012011111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2452824091 + ... + 2452909709.

It is an arithmetic number, because the mean of its divisors is an integer number (2363998737800).

Almost surely, 2^{210012011111100} is an apocalyptic number.

210012011111100 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 210012011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340415818243200).

210012011111100 is an abundant number, since it is smaller than the sum of its proper divisors (470819625375300).

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

210012011111100 is a wasteful number, since it uses less digits than its factorization.

210012011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105773 (or 105766 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 210012011111100 its reverse (1111110210012), we get a palindrome (211123121321112).

The spelling of 210012011111100 in words is "two hundred ten trillion, twelve billion, eleven million, one hundred eleven thousand, one hundred".