201632225121 has 96 divisors (see below), whose sum is σ = 311865016320. Its totient is φ = 125318793600.

The previous prime is 201632225107. The next prime is 201632225143. The reversal of 201632225121 is 121522236102.

201632225121 is a `hidden beast` number, since 2 + 0 + 1 + 632 + 2 + 2 + 5 + 1 + 21 = 666.

It is not a de Polignac number, because 201632225121 - 2¹⁸ = 201631962977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201632225161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435490536 + ... + 435490998.

It is an arithmetic number, because the mean of its divisors is an integer number (3248593920).

Almost surely, 2^201632225121 is an apocalyptic number.

It is an amenable number.

201632225121 is a deficient number, since it is larger than the sum of its proper divisors (110232791199).

201632225121 is a wasteful number, since it uses less digits than its factorization.

201632225121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 201632225121 in words is "two hundred one billion, six hundred thirty-two million, two hundred twenty-five thousand, one hundred twenty-one".