210110100101120 has 96 divisors (see below), whose sum is σ = 504260106255360. Its totient is φ = 84024205639680.

The previous prime is 210110100101101. The next prime is 210110100101129. The reversal of 210110100101120 is 21101001011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110100101129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41008769 + ... + 45846911.

It is an arithmetic number, because the mean of its divisors is an integer number (5252709440160).

Almost surely, 2^{210110100101120} is an apocalyptic number.

210110100101120 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 210110100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252130053127680).

210110100101120 is an abundant number, since it is smaller than the sum of its proper divisors (294150006154240).

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

210110100101120 is an equidigital number, since it uses as much as digits as its factorization.

210110100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842411 (or 4842391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 210110100101120 its reverse (21101001011012), we get a palindrome (231211101112132).

The spelling of 210110100101120 in words is "two hundred ten trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred twenty".