42100100100 has 108 divisors (see below), whose sum is σ = 133768310676. Its totient is φ = 11072885760.

The previous prime is 42100100093. The next prime is 42100100111. The reversal of 42100100100 is 100100124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20142144 + 42079957956 = 4488^2 + 205134^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

42100100100 is a modest number, since divided by 100100 gives 42100 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 254697 + ... + 386096.

Almost surely, 2^42100100100 is an apocalyptic number.

It is an amenable number.

42100100100 is an abundant number, since it is smaller than the sum of its proper divisors (91668210576).

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

42100100100 is a wasteful number, since it uses less digits than its factorization.

42100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640886 (or 640876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 42100100100 its reverse (100100124), we get a palindrome (42200200224).

The spelling of 42100100100 in words is "forty-two billion, one hundred million, one hundred thousand, one hundred".