10121892 has 36 divisors (see below), whose sum is σ = 25963728. Its totient is φ = 3066800.

The previous prime is 10121833. The next prime is 10121897. The reversal of 10121892 is 29812101.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10121897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2034 + ... + 4937.

Almost surely, 2^10121892 is an apocalyptic number.

10121892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121892 is an abundant number, since it is smaller than the sum of its proper divisors (15841836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10121892 is a wasteful number, since it uses less digits than its factorization.

10121892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 10121892 is about 3181.4921027719. The cubic root of 10121892 is about 216.3152974207.

Adding to 10121892 its reverse (29812101), we get a palindrome (39933993).

The spelling of 10121892 in words is "ten million, one hundred twenty-one thousand, eight hundred ninety-two".