100210010200110 has 24 divisors (see below), whose sum is σ = 260546026520520. Its totient is φ = 26722669386672.

The previous prime is 100210010200007. The next prime is 100210010200133. The reversal of 100210010200110 is 11002010012001.

It is a happy number.

It is a super-2 number, since 2×100210010200110² (a number of 29 digits) contains 22 as substring.

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 = 100210010200092 and 100210010200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556722278800 + ... + 556722278979.

It is an arithmetic number, because the mean of its divisors is an integer number (10856084438355).

Almost surely, 2^{100210010200110} is an apocalyptic number.

100210010200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210010200110 is an abundant number, since it is smaller than the sum of its proper divisors (160336016320410).

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

100210010200110 is a wasteful number, since it uses less digits than its factorization.

100210010200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113444557792 (or 1113444557789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210010200110 its reverse (11002010012001), we get a palindrome (111212020212111).

The spelling of 100210010200110 in words is "one hundred trillion, two hundred ten billion, ten million, two hundred thousand, one hundred ten".