201829109121 has 24 divisors (see below), whose sum is σ = 296273674944. Its totient is φ = 132369098400.

The previous prime is 201829109117. The next prime is 201829109123. The reversal of 201829109121 is 121901928102.

It is not a de Polignac number, because 201829109121 - 2² = 201829109117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201829109123) 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, 235396 + ... + 677546.

It is an arithmetic number, because the mean of its divisors is an integer number (12344736456).

Almost surely, 2^201829109121 is an apocalyptic number.

It is an amenable number.

201829109121 is a deficient number, since it is larger than the sum of its proper divisors (94444565823).

201829109121 is a wasteful number, since it uses less digits than its factorization.

201829109121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442981 (or 442978 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 201829109121 in words is "two hundred one billion, eight hundred twenty-nine million, one hundred nine thousand, one hundred twenty-one".