100210201020000 has 180 divisors, whose sum is σ = 356101960474260. Its totient is φ = 26722720224000.

The previous prime is 100210201019989. The next prime is 100210201020029. The reversal of 100210201020000 is 20102012001.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 278181670 + ... + 278541669.

It is an arithmetic number, because the mean of its divisors is an integer number (1978344224857).

Almost surely, 2^{100210201020000} is an apocalyptic number.

100210201020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210201020000 is an abundant number, since it is smaller than the sum of its proper divisors (255891759454260).

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

100210201020000 is an equidigital number, since it uses as much as digits as its factorization.

100210201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556723375 (or 556723349 counting only the distinct ones).

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

Adding to 100210201020000 its reverse (20102012001), we get a palindrome (100230303032001).

The spelling of 100210201020000 in words is "one hundred trillion, two hundred ten billion, two hundred one million, twenty thousand".