42101200401 has 24 divisors (see below), whose sum is σ = 60835524480. Its totient is φ = 25886966976.

The previous prime is 42101200319. The next prime is 42101200411. The reversal of 42101200401 is 10400210124.

42101200401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42101200401 - 2¹⁰ = 42101199377 is a prime.

It is a super-2 number, since 2×42101200401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42101200411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589320 + ... + 656886.

It is an arithmetic number, because the mean of its divisors is an integer number (2534813520).

Almost surely, 2^42101200401 is an apocalyptic number.

It is an amenable number.

42101200401 is a deficient number, since it is larger than the sum of its proper divisors (18734324079).

42101200401 is a wasteful number, since it uses less digits than its factorization.

42101200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68825 (or 68812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 42101200401 its reverse (10400210124), we get a palindrome (52501410525).

The spelling of 42101200401 in words is "forty-two billion, one hundred one million, two hundred thousand, four hundred one".