21110100101120 has 192 divisors, whose sum is σ = 51469039440000. Its totient is φ = 8308368211968.

The previous prime is 21110100101011. The next prime is 21110100101131. The reversal of 21110100101120 is 2110100101112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313177181 + ... + 313244579.

It is an arithmetic number, because the mean of its divisors is an integer number (268067913750).

Almost surely, 2^{21110100101120} is an apocalyptic number.

21110100101120 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 21110100101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734519720000).

21110100101120 is an abundant number, since it is smaller than the sum of its proper divisors (30358939338880).

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

21110100101120 is an equidigital number, since it uses as much as digits as its factorization.

21110100101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67918 (or 67898 counting only the distinct ones).

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

Adding to 21110100101120 its reverse (2110100101112), we get a palindrome (23220200202232).

The spelling of 21110100101120 in words is "twenty-one trillion, one hundred ten billion, one hundred million, one hundred one thousand, one hundred twenty".