2102014124040 has 64 divisors (see below), whose sum is σ = 6307283842560. Its totient is φ = 560426746880.

The previous prime is 2102014124009. The next prime is 2102014124047. The reversal of 2102014124040 is 404214102012.

It is a junction number, because it is equal to n+sod(n) for n = 2102014123998 and 2102014124016.

It is not an unprimeable number, because it can be changed into a prime (2102014124047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111281 + ... + 2332160.

It is an arithmetic number, because the mean of its divisors is an integer number (98551310040).

Almost surely, 2^{2102014124040} is an apocalyptic number.

2102014124040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102014124040 is an abundant number, since it is smaller than the sum of its proper divisors (4205269718520).

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

2102014124040 is a wasteful number, since it uses less digits than its factorization.

2102014124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448542 (or 3448538 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2102014124040 its reverse (404214102012), we get a palindrome (2506228226052).

The spelling of 2102014124040 in words is "two trillion, one hundred two billion, fourteen million, one hundred twenty-four thousand, forty".