201100212129 has 32 divisors (see below), whose sum is σ = 288591528960. Its totient is φ = 124180084800.

The previous prime is 201100212121. The next prime is 201100212149. The reversal of 201100212129 is 921212001102.

201100212129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201100212129 - 2³ = 201100212121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201100212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407494 + ... + 753824.

It is an arithmetic number, because the mean of its divisors is an integer number (9018485280).

Almost surely, 2^201100212129 is an apocalyptic number.

It is an amenable number.

201100212129 is a deficient number, since it is larger than the sum of its proper divisors (87491316831).

201100212129 is a wasteful number, since it uses less digits than its factorization.

201100212129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346581.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 201100212129 in words is "two hundred one billion, one hundred million, two hundred twelve thousand, one hundred twenty-nine".