10012122101120 has 32 divisors (see below), whose sum is σ = 23935229399520. Its totient is φ = 4004848840192.

The previous prime is 10012122101099. The next prime is 10012122101141. The reversal of 10012122101120 is 2110122121001.

It is an interprime number because it is at equal distance from previous prime (10012122101099) and next prime (10012122101141).

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10012122101095 and 10012122101104.

It is a congruent number.

It is an unprimeable number.

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, 7821969752 + ... + 7821971031.

It is an arithmetic number, because the mean of its divisors is an integer number (747975918735).

Almost surely, 2^{10012122101120} is an apocalyptic number.

10012122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012122101120 is an abundant number, since it is smaller than the sum of its proper divisors (13923107298400).

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

10012122101120 is an equidigital number, since it uses as much as digits as its factorization.

10012122101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15643940802 (or 15643940790 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012122101120 its reverse (2110122121001), we get a palindrome (12122244222121).

The spelling of 10012122101120 in words is "ten trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".