2121102142420 has 72 divisors (see below), whose sum is σ = 4821024771864. Its totient is φ = 783465805824.

The previous prime is 2121102142351. The next prime is 2121102142433. The reversal of 2121102142420 is 242412011212.

It can be written as a sum of positive squares in 12 ways, for example, as 368179344 + 2120733963076 = 19188^2 + 1456274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121102142391 and 2121102142400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3155667 + ... + 3768346.

It is an arithmetic number, because the mean of its divisors is an integer number (66958677387).

Almost surely, 2^{2121102142420} is an apocalyptic number.

2121102142420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121102142420 is an abundant number, since it is smaller than the sum of its proper divisors (2699922629444).

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

2121102142420 is a wasteful number, since it uses less digits than its factorization.

2121102142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924109 (or 6924090 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2121102142420 its reverse (242412011212), we get a palindrome (2363514153632).

The spelling of 2121102142420 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred forty-two thousand, four hundred twenty".