2102111400042 has 48 divisors (see below), whose sum is σ = 4614371536320. Its totient is φ = 691522318656.

The previous prime is 2102111400023. The next prime is 2102111400049. The reversal of 2102111400042 is 2400041112012.

2102111400042 is a `hidden beast` number, since 2 + 10 + 211 + 1 + 400 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102111399988 and 2102111400024.

It is not an unprimeable number, because it can be changed into a prime (2102111400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649059 + ... + 2150697.

It is an arithmetic number, because the mean of its divisors is an integer number (96132740340).

Almost surely, 2^{2102111400042} is an apocalyptic number.

2102111400042 is an abundant number, since it is smaller than the sum of its proper divisors (2512260136278).

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

2102111400042 is a wasteful number, since it uses less digits than its factorization.

2102111400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502667 (or 1502664 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102111400042 its reverse (2400041112012), we get a palindrome (4502152512054).

The spelling of 2102111400042 in words is "two trillion, one hundred two billion, one hundred eleven million, four hundred thousand, forty-two".