201421214001 has 128 divisors (see below), whose sum is σ = 360622080000. Its totient is φ = 108627982848.

The previous prime is 201421213993. The next prime is 201421214003. The reversal of 201421214001 is 100412124102.

201421214001 is a `hidden beast` number, since 2 + 0 + 142 + 121 + 400 + 1 = 666.

It is not a de Polignac number, because 201421214001 - 2³ = 201421213993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201421214003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156260965 + ... + 156262253.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360000).

Almost surely, 2^201421214001 is an apocalyptic number.

201421214001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201421214001 is a deficient number, since it is larger than the sum of its proper divisors (159200865999).

201421214001 is a wasteful number, since it uses less digits than its factorization.

201421214001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201421214001 its reverse (100412124102), we get a palindrome (301833338103).

The spelling of 201421214001 in words is "two hundred one billion, four hundred twenty-one million, two hundred fourteen thousand, one".