102030122131200 has 324 divisors, whose sum is σ = 364839761213928. Its totient is φ = 27203628441600.

The previous prime is 102030122131177. The next prime is 102030122131229. The reversal of 102030122131200 is 2131221030201.

102030122131200 is a `hidden beast` number, since 1 + 0 + 20 + 301 + 221 + 3 + 120 + 0 = 666.

102030122131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363718995 + ... + 363999405.

It is an arithmetic number, because the mean of its divisors is an integer number (1126048645722).

Almost surely, 2^{102030122131200} is an apocalyptic number.

102030122131200 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 102030122131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182419880606964).

102030122131200 is an abundant number, since it is smaller than the sum of its proper divisors (262809639082728).

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

102030122131200 is a wasteful number, since it uses less digits than its factorization.

102030122131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286760 (or 286738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102030122131200 its reverse (2131221030201), we get a palindrome (104161343161401).

The spelling of 102030122131200 in words is "one hundred two trillion, thirty billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred".