21012221001120 has 96 divisors (see below), whose sum is σ = 69672101244480. Its totient is φ = 5308350566400.

The previous prime is 21012221001119. The next prime is 21012221001157. The reversal of 21012221001120 is 2110012221012.

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

It is a super-3 number, since 3×21012221001120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21012221001120.

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, 1151976681 + ... + 1151994920.

It is an arithmetic number, because the mean of its divisors is an integer number (725751054630).

Almost surely, 2^{21012221001120} is an apocalyptic number.

21012221001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012221001120 is an abundant number, since it is smaller than the sum of its proper divisors (48659880243360).

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

21012221001120 is a wasteful number, since it uses less digits than its factorization.

21012221001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303971638 (or 2303971630 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21012221001120 its reverse (2110012221012), we get a palindrome (23122233222132).

The spelling of 21012221001120 in words is "twenty-one trillion, twelve billion, two hundred twenty-one million, one thousand, one hundred twenty".