100110020220210 has 512 divisors, whose sum is σ = 325494372188160. Its totient is φ = 19187989032960.

The previous prime is 100110020220191. The next prime is 100110020220251. The reversal of 100110020220210 is 12022020011001.

It is a super-2 number, since 2×100110020220210² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5410465819 + ... + 5410484321.

It is an arithmetic number, because the mean of its divisors is an integer number (635731195680).

Almost surely, 2^{100110020220210} is an apocalyptic number.

100110020220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110020220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162747186094080).

100110020220210 is an abundant number, since it is smaller than the sum of its proper divisors (225384351967950).

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

100110020220210 is a wasteful number, since it uses less digits than its factorization.

100110020220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20055 (or 20033 counting only the distinct ones).

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

Adding to 100110020220210 its reverse (12022020011001), we get a palindrome (112132040231211).

The spelling of 100110020220210 in words is "one hundred trillion, one hundred ten billion, twenty million, two hundred twenty thousand, two hundred ten".