10100002121120 has 48 divisors (see below), whose sum is σ = 24188121546120. Its totient is φ = 3984658366464.

The previous prime is 10100002121089. The next prime is 10100002121159. The reversal of 10100002121120 is 2112120000101.

It can be written as a sum of positive squares in 4 ways, for example, as 7411832011024 + 2688170110096 = 2722468^2 + 1639564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432351425 + ... + 432374784.

Almost surely, 2^{10100002121120} is an apocalyptic number.

10100002121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100002121120 is an abundant number, since it is smaller than the sum of its proper divisors (14088119425000).

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

10100002121120 is an equidigital number, since it uses as much as digits as its factorization.

10100002121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864726297 (or 864726289 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100002121120 its reverse (2112120000101), we get a palindrome (12212122121221).

The spelling of 10100002121120 in words is "ten trillion, one hundred billion, two million, one hundred twenty-one thousand, one hundred twenty".