10102121021120 has 28 divisors (see below), whose sum is σ = 24055675682304. Its totient is φ = 4040848408320.

The previous prime is 10102121021087. The next prime is 10102121021131. The reversal of 10102121021120 is 2112012120101.

It is a junction number, because it is equal to n+sod(n) for n = 10102121021095 and 10102121021104.

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, 15784563776 + ... + 15784564415.

It is an arithmetic number, because the mean of its divisors is an integer number (859131274368).

Almost surely, 2^{10102121021120} is an apocalyptic number.

10102121021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102121021120 is an abundant number, since it is smaller than the sum of its proper divisors (13953554661184).

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

10102121021120 is an equidigital number, since it uses as much as digits as its factorization.

10102121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31569128208 (or 31569128198 counting only the distinct ones).

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

Adding to 10102121021120 its reverse (2112012120101), we get a palindrome (12214133141221).

The spelling of 10102121021120 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".