42100203210 has 128 divisors (see below), whose sum is σ = 112747057920. Its totient is φ = 9993424896.

The previous prime is 42100203209. The next prime is 42100203259. The reversal of 42100203210 is 1230200124.

It is a super-2 number, since 2×42100203210² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42100203210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1617681 + ... + 1643499.

It is an arithmetic number, because the mean of its divisors is an integer number (880836390).

Almost surely, 2^42100203210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100203210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56373528960).

42100203210 is an abundant number, since it is smaller than the sum of its proper divisors (70646854710).

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

42100203210 is a wasteful number, since it uses less digits than its factorization.

42100203210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25992.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42100203210 its reverse (1230200124), we get a palindrome (43330403334).

The spelling of 42100203210 in words is "forty-two billion, one hundred million, two hundred three thousand, two hundred ten".