101110314020 has 96 divisors (see below), whose sum is σ = 219949956576. Its totient is φ = 39016857600.

The previous prime is 101110314017. The next prime is 101110314031. The reversal of 101110314020 is 20413011101.

It can be written as a sum of positive squares in 16 ways, for example, as 65225073664 + 35885240356 = 255392^2 + 189434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101110313986 and 101110314004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50128052 + ... + 50130068.

It is an arithmetic number, because the mean of its divisors is an integer number (2291145381).

Almost surely, 2^101110314020 is an apocalyptic number.

101110314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109974978288).

101110314020 is an abundant number, since it is smaller than the sum of its proper divisors (118839642556).

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

101110314020 is a wasteful number, since it uses less digits than its factorization.

101110314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101110314020 its reverse (20413011101), we get a palindrome (121523325121).

The spelling of 101110314020 in words is "one hundred one billion, one hundred ten million, three hundred fourteen thousand, twenty".