42102223210100 has 144 divisors (see below), whose sum is σ = 98086936878000. Its totient is φ = 15629019217920.

The previous prime is 42102223210093. The next prime is 42102223210109. The reversal of 42102223210100 is 101232220124.

It can be written as a sum of positive squares in 24 ways, for example, as 20510699707876 + 21591523502224 = 4528874^2 + 4646668^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102223210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494992376 + ... + 495077424.

It is an arithmetic number, because the mean of its divisors is an integer number (681159283875).

Almost surely, 2^{42102223210100} 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 42102223210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49043468439000).

42102223210100 is an abundant number, since it is smaller than the sum of its proper divisors (55984713667900).

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

42102223210100 is a wasteful number, since it uses less digits than its factorization.

42102223210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89142 (or 89135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42102223210100 its reverse (101232220124), we get a palindrome (42203455430224).

The spelling of 42102223210100 in words is "forty-two trillion, one hundred two billion, two hundred twenty-three million, two hundred ten thousand, one hundred".