100102010200000 has 168 divisors, whose sum is σ = 248385481936704. Its totient is φ = 40024440960000.

The previous prime is 100102010199991. The next prime is 100102010200007. The reversal of 100102010200000 is 2010201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102010200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495298969 + ... + 495501031.

It is an arithmetic number, because the mean of its divisors is an integer number (1478485011528).

Almost surely, 2^{100102010200000} is an apocalyptic number.

100102010200000 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 100102010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124192740968352).

100102010200000 is an abundant number, since it is smaller than the sum of its proper divisors (148283471736704).

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

100102010200000 is an frugal number, since it uses more digits than its factorization.

100102010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204577 (or 204547 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100102010200000 its reverse (2010201001), we get a palindrome (100104020401001).

The spelling of 100102010200000 in words is "one hundred trillion, one hundred two billion, ten million, two hundred thousand".