102101302130000 has 200 divisors, whose sum is σ = 248513518968000. Its totient is φ = 40623213312000.

The previous prime is 102101302129961. The next prime is 102101302130041. The reversal of 102101302130000 is 31203101201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9967904879 + ... + 9967915121.

It is an arithmetic number, because the mean of its divisors is an integer number (1242567594840).

Almost surely, 2^{102101302130000} is an apocalyptic number.

102101302130000 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 102101302130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124256759484000).

102101302130000 is an abundant number, since it is smaller than the sum of its proper divisors (146412216838000).

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

102101302130000 is a wasteful number, since it uses less digits than its factorization.

102101302130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15479 (or 15458 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102101302130000 its reverse (31203101201), we get a palindrome (102132505231201).

The spelling of 102101302130000 in words is "one hundred two trillion, one hundred one billion, three hundred two million, one hundred thirty thousand".