2142402141100 has 144 divisors (see below), whose sum is σ = 5196974872320. Its totient is φ = 761152896000.

The previous prime is 2142402141043. The next prime is 2142402141107. The reversal of 2142402141100 is 11412042412.

It is not an unprimeable number, because it can be changed into a prime (2142402141107) 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 47 ways as a sum of consecutive naturals, for example, 10949125 + ... + 11143075.

It is an arithmetic number, because the mean of its divisors is an integer number (36090103280).

Almost surely, 2^{2142402141100} is an apocalyptic number.

2142402141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142402141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598487436160).

2142402141100 is an abundant number, since it is smaller than the sum of its proper divisors (3054572731220).

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

2142402141100 is a wasteful number, since it uses less digits than its factorization.

2142402141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194300 (or 194293 counting only the distinct ones).

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

Adding to 2142402141100 its reverse (11412042412), we get a palindrome (2153814183512).

The spelling of 2142402141100 in words is "two trillion, one hundred forty-two billion, four hundred two million, one hundred forty-one thousand, one hundred".