202112001 has 72 divisors (see below), whose sum is σ = 370895616. Its totient is φ = 103783680.

The previous prime is 202111981. The next prime is 202112003. The reversal of 202112001 is 100211202.

It is not a de Polignac number, because 202112001 - 2⁹ = 202111489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (202112003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436296 + ... + 436758.

It is an arithmetic number, because the mean of its divisors is an integer number (5151328).

Almost surely, 2^202112001 is an apocalyptic number.

202112001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202112001 is a deficient number, since it is larger than the sum of its proper divisors (168783615).

202112001 is a wasteful number, since it uses less digits than its factorization.

202112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 202112001 is about 14216.6100389650. The cubic root of 202112001 is about 586.8548533609.

Adding to 202112001 its reverse (100211202), we get a palindrome (302323203).

The spelling of 202112001 in words is "two hundred two million, one hundred twelve thousand, one".