100200102210 has 144 divisors (see below), whose sum is σ = 296105040504. Its totient is φ = 23366403072.

The previous prime is 100200102187. The next prime is 100200102239. The reversal of 100200102210 is 12201002001.

It can be written as a sum of positive squares in 4 ways, for example, as 92404448361 + 7795653849 = 303981^2 + 88293^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100200102192 and 100200102201.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303754 + ... + 540986.

Almost surely, 2^100200102210 is an apocalyptic number.

100200102210 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 100200102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148052520252).

100200102210 is an abundant number, since it is smaller than the sum of its proper divisors (195904938294).

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

100200102210 is a wasteful number, since it uses less digits than its factorization.

100200102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237297 (or 237275 counting only the distinct ones).

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

Adding to 100200102210 its reverse (12201002001), we get a palindrome (112401104211).

The spelling of 100200102210 in words is "one hundred billion, two hundred million, one hundred two thousand, two hundred ten".