10221129 has 12 divisors (see below), whose sum is σ = 14831856. Its totient is φ = 6782712.

The previous prime is 10221091. The next prime is 10221149. The reversal of 10221129 is 92112201.

It is not a de Polignac number, because 10221129 - 2¹² = 10217033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221149) 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, 459 + ... + 4544.

It is an arithmetic number, because the mean of its divisors is an integer number (1235988).

Almost surely, 2^10221129 is an apocalyptic number.

It is an amenable number.

10221129 is a deficient number, since it is larger than the sum of its proper divisors (4610727).

10221129 is a wasteful number, since it uses less digits than its factorization.

10221129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10221129 is about 3197.0500465273. The cubic root of 10221129 is about 217.0199320532.

It can be divided in two parts, 1022112 and 9, that added together give a square (1022121 = 1011²).

The spelling of 10221129 in words is "ten million, two hundred twenty-one thousand, one hundred twenty-nine".