10102212120120 has 128 divisors (see below), whose sum is σ = 30399982905600. Its totient is φ = 2685638559744.

The previous prime is 10102212120113. The next prime is 10102212120131. The reversal of 10102212120120 is 2102121220101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102212120120.

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 31 ways as a sum of consecutive naturals, for example, 50749104 + ... + 50947776.

It is an arithmetic number, because the mean of its divisors is an integer number (237499866450).

Almost surely, 2^{10102212120120} is an apocalyptic number.

10102212120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102212120120 is an abundant number, since it is smaller than the sum of its proper divisors (20297770785480).

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

10102212120120 is a wasteful number, since it uses less digits than its factorization.

10102212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199989 (or 199985 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10102212120120 its reverse (2102121220101), we get a palindrome (12204333340221).

The spelling of 10102212120120 in words is "ten trillion, one hundred two billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".