2121011021120 has 56 divisors (see below), whose sum is σ = 5100664081608. Its totient is φ = 840004352000.

The previous prime is 2121011021113. The next prime is 2121011021137. The reversal of 2121011021120 is 211201101212.

It can be written as a sum of positive squares in 4 ways, for example, as 1414348861696 + 706662159424 = 1189264^2 + 840632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121011021095 and 2121011021104.

It is a congruent number.

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, 32780351 + ... + 32844990.

Almost surely, 2^{2121011021120} is an apocalyptic number.

2121011021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011021120 is an abundant number, since it is smaller than the sum of its proper divisors (2979653060488).

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

2121011021120 is a wasteful number, since it uses less digits than its factorization.

2121011021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65625459 (or 65625449 counting only the distinct ones).

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

Adding to 2121011021120 its reverse (211201101212), we get a palindrome (2332212122332).

The spelling of 2121011021120 in words is "two trillion, one hundred twenty-one billion, eleven million, twenty-one thousand, one hundred twenty".