102132010200000 has 2016 divisors, whose sum is σ = 385210493325504. Its totient is φ = 23843635200000.

The previous prime is 102132010199927. The next prime is 102132010200061. The reversal of 102132010200000 is 2010231201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 518436599902 + ... + 518436600098.

It is an arithmetic number, because the mean of its divisors is an integer number (191076633594).

Almost surely, 2^{102132010200000} is an apocalyptic number.

102132010200000 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 102132010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192605246662752).

102132010200000 is an abundant number, since it is smaller than the sum of its proper divisors (283078483125504).

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

102132010200000 is a wasteful number, since it uses less digits than its factorization.

102132010200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102132010200000 its reverse (2010231201), we get a palindrome (102134020431201).

The spelling of 102132010200000 in words is "one hundred two trillion, one hundred thirty-two billion, ten million, two hundred thousand".