100102200210 has 24 divisors (see below), whose sum is σ = 260265720780. Its totient is φ = 26693920032.

The previous prime is 100102200197. The next prime is 100102200217. The reversal of 100102200210 is 12002201001.

100102200210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97387060761 + 2715139449 = 312069^2 + 52107^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 100102200192 and 100102200201.

It is not an unprimeable number, because it can be changed into a prime (100102200217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556123245 + ... + 556123424.

Almost surely, 2^100102200210 is an apocalyptic number.

100102200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102200210 is an abundant number, since it is smaller than the sum of its proper divisors (160163520570).

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

100102200210 is a wasteful number, since it uses less digits than its factorization.

100102200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112246682 (or 1112246679 counting only the distinct ones).

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

Adding to 100102200210 its reverse (12002201001), we get a palindrome (112104401211).

The spelling of 100102200210 in words is "one hundred billion, one hundred two million, two hundred thousand, two hundred ten".