201009291921 has 12 divisors (see below), whose sum is σ = 290350863348. Its totient is φ = 134004298464.

The previous prime is 201009291907. The next prime is 201009291947. The reversal of 201009291921 is 129192900102.

It can be written as a sum of positive squares in 2 ways, for example, as 165942984321 + 35066307600 = 407361^2 + 187260^2 .

It is not a de Polignac number, because 201009291921 - 2⁹ = 201009291409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201009291121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 855571 + ... + 1064903.

It is an arithmetic number, because the mean of its divisors is an integer number (24195905279).

Almost surely, 2^201009291921 is an apocalyptic number.

It is an amenable number.

201009291921 is a deficient number, since it is larger than the sum of its proper divisors (89341571427).

201009291921 is a wasteful number, since it uses less digits than its factorization.

201009291921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316032 (or 316029 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 201009291921 in words is "two hundred one billion, nine million, two hundred ninety-one thousand, nine hundred twenty-one".