10414000201 has 16 divisors (see below), whose sum is σ = 11549292480. Its totient is φ = 9310878720.

The previous prime is 10414000169. The next prime is 10414000211. The reversal of 10414000201 is 10200041401.

It is not a de Polignac number, because 10414000201 - 2⁵ = 10414000169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414000211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265090 + ... + 301828.

It is an arithmetic number, because the mean of its divisors is an integer number (721830780).

Almost surely, 2^10414000201 is an apocalyptic number.

10414000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10414000201 is a deficient number, since it is larger than the sum of its proper divisors (1135292279).

10414000201 is a wasteful number, since it uses less digits than its factorization.

10414000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37176.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10414000201 its reverse (10200041401), we get a palindrome (20614041602).

The spelling of 10414000201 in words is "ten billion, four hundred fourteen million, two hundred one", and thus it is an aban number.