42101000 has 32 divisors (see below), whose sum is σ = 98518680. Its totient is φ = 16840000.

The previous prime is 42100997. The next prime is 42101021. The reversal of 42101000 is 10124.

It can be written as a sum of positive squares in 4 ways, for example, as 18267076 + 23833924 = 4274^2 + 4882^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20051 + ... + 22050.

Almost surely, 2^42101000 is an apocalyptic number.

42101000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42101000 is an abundant number, since it is smaller than the sum of its proper divisors (56417680).

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

42101000 is a wasteful number, since it uses less digits than its factorization.

42101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42122 (or 42108 counting only the distinct ones).

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

The square root of 42101000 is about 6488.5283385372. The cubic root of 42101000 is about 347.8810753190.

Adding to 42101000 its reverse (10124), we get a palindrome (42111124).

The spelling of 42101000 in words is "forty-two million, one hundred one thousand".