100211202120 has 128 divisors (see below), whose sum is σ = 305143200000. Its totient is φ = 26324812800.

The previous prime is 100211202103. The next prime is 100211202121. The reversal of 100211202120 is 21202112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100211202096 and 100211202105.

It is not an unprimeable number, because it can be changed into a prime (100211202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391106 + ... + 2432654.

It is an arithmetic number, because the mean of its divisors is an integer number (2383931250).

Almost surely, 2^100211202120 is an apocalyptic number.

100211202120 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 100211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152571600000).

100211202120 is an abundant number, since it is smaller than the sum of its proper divisors (204931997880).

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

100211202120 is a wasteful number, since it uses less digits than its factorization.

100211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41863 (or 41859 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211202120 its reverse (21202112001), we get a palindrome (121413314121).

The spelling of 100211202120 in words is "one hundred billion, two hundred eleven million, two hundred two thousand, one hundred twenty".