9100010002120 has 16 divisors (see below), whose sum is σ = 20475022504860. Its totient is φ = 3640004000832.

The previous prime is 9100010002091. The next prime is 9100010002129. The reversal of 9100010002120 is 212000100019.

It can be written as a sum of positive squares in 2 ways, for example, as 9059510049604 + 40499952516 = 3009902^2 + 201246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9100010002094 and 9100010002103.

It is not an unprimeable number, because it can be changed into a prime (9100010002129) 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 3 ways as a sum of consecutive naturals, for example, 113750124987 + ... + 113750125066.

Almost surely, 2^{9100010002120} is an apocalyptic number.

It is an amenable number.

9100010002120 is an abundant number, since it is smaller than the sum of its proper divisors (11375012502740).

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

9100010002120 is a wasteful number, since it uses less digits than its factorization.

9100010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227500250064 (or 227500250060 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 9100010002120 its reverse (212000100019), we get a palindrome (9312010102139).

The spelling of 9100010002120 in words is "nine trillion, one hundred billion, ten million, two thousand, one hundred twenty".