102010101200000 has 576 divisors, whose sum is σ = 296822039673600. Its totient is φ = 34816561920000.

The previous prime is 102010101199987. The next prime is 102010101200057. The reversal of 102010101200000 is 2101010201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4370788331 + ... + 4370811669.

It is an arithmetic number, because the mean of its divisors is an integer number (515316041100).

Almost surely, 2^{102010101200000} is an apocalyptic number.

102010101200000 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 102010101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148411019836800).

102010101200000 is an abundant number, since it is smaller than the sum of its proper divisors (194811938473600).

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

102010101200000 is an frugal number, since it uses more digits than its factorization.

102010101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23615 (or 23576 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010101200000 its reverse (2101010201), we get a palindrome (102012202210201).

The spelling of 102010101200000 in words is "one hundred two trillion, ten billion, one hundred one million, two hundred thousand".