42100214310 has 192 divisors, whose sum is σ = 140159545344. Its totient is φ = 8511609600.

The previous prime is 42100214309. The next prime is 42100214353. The reversal of 42100214310 is 1341200124.

42100214310 is a `hidden beast` number, since 4 + 210 + 0 + 21 + 431 + 0 = 666.

42100214310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42100214310² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174315 + ... + 338505.

It is an arithmetic number, because the mean of its divisors is an integer number (729997632).

Almost surely, 2^42100214310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100214310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70079772672).

42100214310 is an abundant number, since it is smaller than the sum of its proper divisors (98059331034).

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

42100214310 is a wasteful number, since it uses less digits than its factorization.

42100214310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164259 (or 164256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42100214310 its reverse (1341200124), we get a palindrome (43441414434).

The spelling of 42100214310 in words is "forty-two billion, one hundred million, two hundred fourteen thousand, three hundred ten".