101208129921 has 48 divisors (see below), whose sum is σ = 149873490000. Its totient is φ = 65788968960.

The previous prime is 101208129917. The next prime is 101208129973. The reversal of 101208129921 is 129921802101.

It can be written as a sum of positive squares in 8 ways, for example, as 28210897521 + 72997232400 = 167961^2 + 270180^2 .

It is not a de Polignac number, because 101208129921 - 2² = 101208129917 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101208129991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81030705 + ... + 81031953.

It is an arithmetic number, because the mean of its divisors is an integer number (3122364375).

Almost surely, 2^101208129921 is an apocalyptic number.

It is an amenable number.

101208129921 is a deficient number, since it is larger than the sum of its proper divisors (48665360079).

101208129921 is a wasteful number, since it uses less digits than its factorization.

101208129921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2223 counting only the distinct ones).

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

The spelling of 101208129921 in words is "one hundred one billion, two hundred eight million, one hundred twenty-nine thousand, nine hundred twenty-one".