102120000212120 has 128 divisors (see below), whose sum is σ = 256043069245440. Its totient is φ = 36337103869440.

The previous prime is 102120000212089. The next prime is 102120000212159. The reversal of 102120000212120 is 21212000021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120000212095 and 102120000212104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102345149 + ... + 103338131.

It is an arithmetic number, because the mean of its divisors is an integer number (2000336478480).

Almost surely, 2^{102120000212120} is an apocalyptic number.

102120000212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120000212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128021534622720).

102120000212120 is an abundant number, since it is smaller than the sum of its proper divisors (153923069033320).

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

102120000212120 is a wasteful number, since it uses less digits than its factorization.

102120000212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998025 (or 998021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120000212120 its reverse (21212000021201), we get a palindrome (123332000233321).

The spelling of 102120000212120 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve thousand, one hundred twenty".