21101010201120 has 48 divisors (see below), whose sum is σ = 66468182135040. Its totient is φ = 5626936053504.

The previous prime is 21101010201107. The next prime is 21101010201157. The reversal of 21101010201120 is 2110201010112.

21101010201120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 21101010201096 and 21101010201105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21980218480 + ... + 21980219439.

It is an arithmetic number, because the mean of its divisors is an integer number (1384753794480).

Almost surely, 2^{21101010201120} is an apocalyptic number.

21101010201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101010201120 is an abundant number, since it is smaller than the sum of its proper divisors (45367171933920).

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

21101010201120 is a wasteful number, since it uses less digits than its factorization.

21101010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43960437937 (or 43960437929 counting only the distinct ones).

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

Adding to 21101010201120 its reverse (2110201010112), we get a palindrome (23211211211232).

The spelling of 21101010201120 in words is "twenty-one trillion, one hundred one billion, ten million, two hundred one thousand, one hundred twenty".