21100110021120 has 320 divisors, whose sum is σ = 72679924437120. Its totient is φ = 5191248642048.

The previous prime is 21100110021091. The next prime is 21100110021161. The reversal of 21100110021120 is 2112001100112.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 21100110021096 and 21100110021105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201324891 + ... + 201429669.

It is an arithmetic number, because the mean of its divisors is an integer number (227124763866).

Almost surely, 2^{21100110021120} is an apocalyptic number.

21100110021120 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 21100110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36339962218560).

21100110021120 is an abundant number, since it is smaller than the sum of its proper divisors (51579814416000).

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

21100110021120 is a wasteful number, since it uses less digits than its factorization.

21100110021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106835 (or 106819 counting only the distinct ones).

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

Adding to 21100110021120 its reverse (2112001100112), we get a palindrome (23212111121232).

The spelling of 21100110021120 in words is "twenty-one trillion, one hundred billion, one hundred ten million, twenty-one thousand, one hundred twenty".