100202100010210 has 48 divisors (see below), whose sum is σ = 201991683910968. Its totient is φ = 35749634286080.

The previous prime is 100202100010153. The next prime is 100202100010219. The reversal of 100202100010210 is 12010001202001.

It can be written as a sum of positive squares in 4 ways, for example, as 93165022753209 + 7037077257001 = 9652203^2 + 2652749^2 .

It is a super-2 number, since 2×100202100010210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100202100010219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781177879 + ... + 781306138.

Almost surely, 2^{100202100010210} is an apocalyptic number.

100202100010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100202100010210 is an abundant number, since it is smaller than the sum of its proper divisors (101789583900758).

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

100202100010210 is a wasteful number, since it uses less digits than its factorization.

100202100010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562484099 (or 1562484088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100202100010210 its reverse (12010001202001), we get a palindrome (112212101212211).

The spelling of 100202100010210 in words is "one hundred trillion, two hundred two billion, one hundred million, ten thousand, two hundred ten".