100101220210110 has 64 divisors (see below), whose sum is σ = 274566420928512. Its totient is φ = 22880022733056.

The previous prime is 100101220210097. The next prime is 100101220210127. The reversal of 100101220210110 is 11012022101001.

100101220210110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×100101220210110⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16458202 + ... + 21704258.

It is an arithmetic number, because the mean of its divisors is an integer number (4290100327008).

Almost surely, 2^{100101220210110} is an apocalyptic number.

100101220210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101220210110 is an abundant number, since it is smaller than the sum of its proper divisors (174465200718402).

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

100101220210110 is a wasteful number, since it uses less digits than its factorization.

100101220210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336937.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101220210110 its reverse (11012022101001), we get a palindrome (111113242311111).

The spelling of 100101220210110 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, two hundred ten thousand, one hundred ten".