4142031521100 has 288 divisors, whose sum is σ = 13171444473600. Its totient is φ = 996647347200.

The previous prime is 4142031521093. The next prime is 4142031521113. The reversal of 4142031521100 is 11251302414.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 329013606 + ... + 329026194.

It is an arithmetic number, because the mean of its divisors is an integer number (45734182200).

Almost surely, 2^{4142031521100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142031521100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585722236800).

4142031521100 is an abundant number, since it is smaller than the sum of its proper divisors (9029412952500).

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

4142031521100 is a wasteful number, since it uses less digits than its factorization.

4142031521100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 4142031521100 its reverse (11251302414), we get a palindrome (4153282823514).

The spelling of 4142031521100 in words is "four trillion, one hundred forty-two billion, thirty-one million, five hundred twenty-one thousand, one hundred".