10102001120120 has 128 divisors (see below), whose sum is σ = 29447128972800. Its totient is φ = 3028847510016.

The previous prime is 10102001120117. The next prime is 10102001120129. The reversal of 10102001120120 is 2102110020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102001120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72964394 + ... + 73102713.

It is an arithmetic number, because the mean of its divisors is an integer number (230055695100).

Almost surely, 2^{10102001120120} is an apocalyptic number.

10102001120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001120120 is an abundant number, since it is smaller than the sum of its proper divisors (19345127852680).

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

10102001120120 is a wasteful number, since it uses less digits than its factorization.

10102001120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146067157 (or 146067153 counting only the distinct ones).

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

Adding to 10102001120120 its reverse (2102110020101), we get a palindrome (12204111140221).

The spelling of 10102001120120 in words is "ten trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred twenty".