21010010121120 has 96 divisors (see below), whose sum is σ = 66702646499328. Its totient is φ = 5558553842688.

The previous prime is 21010010121119. The next prime is 21010010121131. The reversal of 21010010121120 is 2112101001012.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 21010010121096 and 21010010121105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 172265239 + ... + 172387158.

It is an arithmetic number, because the mean of its divisors is an integer number (694819234368).

Almost surely, 2^{21010010121120} is an apocalyptic number.

21010010121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010010121120 is an abundant number, since it is smaller than the sum of its proper divisors (45692636378208).

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

21010010121120 is a wasteful number, since it uses less digits than its factorization.

21010010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344652542 (or 344652534 counting only the distinct ones).

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

Adding to 21010010121120 its reverse (2112101001012), we get a palindrome (23122111122132).

The spelling of 21010010121120 in words is "twenty-one trillion, ten billion, ten million, one hundred twenty-one thousand, one hundred twenty".