100011221101110 has 128 divisors (see below), whose sum is σ = 273009678336000. Its totient is φ = 23224781099520.

The previous prime is 100011221101097. The next prime is 100011221101193. The reversal of 100011221101110 is 11101122110001.

100011221101110 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-2 number, since 2×100011221101110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39928285 + ... + 42359064.

It is an arithmetic number, because the mean of its divisors is an integer number (2132888112000).

Almost surely, 2^{100011221101110} is an apocalyptic number.

100011221101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011221101110 is an abundant number, since it is smaller than the sum of its proper divisors (172998457234890).

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

100011221101110 is a wasteful number, since it uses less digits than its factorization.

100011221101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82287526.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100011221101110 its reverse (11101122110001), we get a palindrome (111112343211111).

The spelling of 100011221101110 in words is "one hundred trillion, eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred ten".