42142101110100 has 54 divisors (see below), whose sum is σ = 132092074704590. Its totient is φ = 11237893629120.

The previous prime is 42142101110069. The next prime is 42142101110107. The reversal of 42142101110100 is 101110124124.

42142101110100 is a `hidden beast` number, since 421 + 4 + 210 + 11 + 10 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8186820232644 + 33955280877456 = 2861262^2 + 5827116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142101110107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23412277495 + ... + 23412279294.

Almost surely, 2^{42142101110100} is an apocalyptic number.

It is an amenable number.

42142101110100 is an abundant number, since it is smaller than the sum of its proper divisors (89949973594490).

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

42142101110100 is a wasteful number, since it uses less digits than its factorization.

42142101110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46824556809 (or 46824556799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 42142101110100 its reverse (101110124124), we get a palindrome (42243211234224).

The spelling of 42142101110100 in words is "forty-two trillion, one hundred forty-two billion, one hundred one million, one hundred ten thousand, one hundred".