100210211000000 has 196 divisors, whose sum is σ = 249532934531304. Its totient is φ = 39928012800000.

The previous prime is 100210210999999. The next prime is 100210211000017. The reversal of 100210211000000 is 112012001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256805039 + ... + 257194961.

Almost surely, 2^{100210211000000} is an apocalyptic number.

100210211000000 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 100210211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124766467265652).

100210211000000 is an abundant number, since it is smaller than the sum of its proper divisors (149322723531304).

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

100210211000000 is an frugal number, since it uses more digits than its factorization.

100210211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390222 (or 390187 counting only the distinct ones).

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

Adding to 100210211000000 its reverse (112012001), we get a palindrome (100210323012001).

The spelling of 100210211000000 in words is "one hundred trillion, two hundred ten billion, two hundred eleven million", and thus it is an aban number.