2121210011120 has 20 divisors (see below), whose sum is σ = 4931813276040. Its totient is φ = 848484004416.

The previous prime is 2121210011119. The next prime is 2121210011153. The reversal of 2121210011120 is 211100121212.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×2121210011120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121210011095 and 2121210011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13257562490 + ... + 13257562649.

It is an arithmetic number, because the mean of its divisors is an integer number (246590663802).

Almost surely, 2^{2121210011120} is an apocalyptic number.

2121210011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121210011120 is an abundant number, since it is smaller than the sum of its proper divisors (2810603264920).

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

2121210011120 is a wasteful number, since it uses less digits than its factorization.

2121210011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26515125152 (or 26515125146 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2121210011120 its reverse (211100121212), we get a palindrome (2332310132332).

The spelling of 2121210011120 in words is "two trillion, one hundred twenty-one billion, two hundred ten million, eleven thousand, one hundred twenty".