102120120200010 has 512 divisors, whose sum is σ = 276466137292800. Its totient is φ = 23934468096000.

The previous prime is 102120120199987. The next prime is 102120120200039. The reversal of 102120120200010 is 10002021021201.

102120120200010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149517013129 + ... + 149517013811.

It is an arithmetic number, because the mean of its divisors is an integer number (539972924400).

Almost surely, 2^{102120120200010} is an apocalyptic number.

102120120200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120120200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138233068646400).

102120120200010 is an abundant number, since it is smaller than the sum of its proper divisors (174346017092790).

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

102120120200010 is a wasteful number, since it uses less digits than its factorization.

102120120200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120120200010 its reverse (10002021021201), we get a palindrome (112122141221211).

The spelling of 102120120200010 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, two hundred thousand, ten".