100210221211000 has 512 divisors, whose sum is σ = 256885364736000. Its totient is φ = 36449222400000.

The previous prime is 100210221210959. The next prime is 100210221211043. The reversal of 100210221211000 is 112122012001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49146747981 + ... + 49146750019.

It is an arithmetic number, because the mean of its divisors is an integer number (501729228000).

Almost surely, 2^{100210221211000} is an apocalyptic number.

100210221211000 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 100210221211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128442682368000).

100210221211000 is an abundant number, since it is smaller than the sum of its proper divisors (156675143525000).

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

100210221211000 is a wasteful number, since it uses less digits than its factorization.

100210221211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210221211000 its reverse (112122012001), we get a palindrome (100322343223001).

The spelling of 100210221211000 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred eleven thousand".