100102201020000 has 360 divisors, whose sum is σ = 356425692006384. Its totient is φ = 26640826752000.

The previous prime is 100102201019987. The next prime is 100102201020001. The reversal of 100102201020000 is 20102201001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102201020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 89987194 + ... + 91092806.

Almost surely, 2^{100102201020000} is an apocalyptic number.

100102201020000 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 100102201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178212846003192).

100102201020000 is an abundant number, since it is smaller than the sum of its proper divisors (256323490986384).

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

100102201020000 is a wasteful number, since it uses less digits than its factorization.

100102201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106152 (or 1106126 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102201020000 its reverse (20102201001), we get a palindrome (100122303221001).

The spelling of 100102201020000 in words is "one hundred trillion, one hundred two billion, two hundred one million, twenty thousand".