100892121 has 16 divisors (see below), whose sum is σ = 147529728. Its totient is φ = 60822800.

The previous prime is 100892117. The next prime is 100892137. The reversal of 100892121 is 121298001.

It is a cyclic number.

It is not a de Polignac number, because 100892121 - 2² = 100892117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100892091 and 100892100.

It is not an unprimeable number, because it can be changed into a prime (100892521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1701 + ... + 14306.

It is an arithmetic number, because the mean of its divisors is an integer number (9220608).

Almost surely, 2^100892121 is an apocalyptic number.

100892121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100892121 is a deficient number, since it is larger than the sum of its proper divisors (46637607).

100892121 is a wasteful number, since it uses less digits than its factorization.

100892121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212.

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

The square root of 100892121 is about 10044.5070063194. The cubic root of 100892121 is about 465.5350852671.

The spelling of 100892121 in words is "one hundred million, eight hundred ninety-two thousand, one hundred twenty-one".