101110221114 has 64 divisors (see below), whose sum is σ = 236984590080. Its totient is φ = 28155617280.

The previous prime is 101110221103. The next prime is 101110221127. The reversal of 101110221114 is 411122011101.

It is a happy number.

It is a super-3 number, since 3×101110221114³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110221093 and 101110221102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708402 + ... + 1766594.

It is an arithmetic number, because the mean of its divisors is an integer number (3702884220).

Almost surely, 2^101110221114 is an apocalyptic number.

101110221114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110221114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492295040).

101110221114 is an abundant number, since it is smaller than the sum of its proper divisors (135874368966).

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

101110221114 is a wasteful number, since it uses less digits than its factorization.

101110221114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59255.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101110221114 its reverse (411122011101), we get a palindrome (512232232215).

The spelling of 101110221114 in words is "one hundred one billion, one hundred ten million, two hundred twenty-one thousand, one hundred fourteen".