21102010101120 has 256 divisors, whose sum is σ = 72477351172800. Its totient is φ = 5191426473984.

The previous prime is 21102010101097. The next prime is 21102010101121. The reversal of 21102010101120 is 2110101020112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21102010101096 and 21102010101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102010101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44417154 + ... + 44889726.

Almost surely, 2^{21102010101120} is an apocalyptic number.

21102010101120 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 21102010101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238675586400).

21102010101120 is an abundant number, since it is smaller than the sum of its proper divisors (51375341071680).

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

21102010101120 is a wasteful number, since it uses less digits than its factorization.

21102010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474397 (or 474385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21102010101120 its reverse (2110101020112), we get a palindrome (23212111121232).

The spelling of 21102010101120 in words is "twenty-one trillion, one hundred two billion, ten million, one hundred one thousand, one hundred twenty".