101110112020 has 24 divisors (see below), whose sum is σ = 215812077768. Its totient is φ = 39781027200.

The previous prime is 101110112003. The next prime is 101110112029. The reversal of 101110112020 is 20211011101.

It can be written as a sum of positive squares in 4 ways, for example, as 11165303556 + 89944808464 = 105666^2 + 299908^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101110111988 and 101110112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110112029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41437351 + ... + 41439790.

It is an arithmetic number, because the mean of its divisors is an integer number (8992169907).

Almost surely, 2^101110112020 is an apocalyptic number.

101110112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110112020 is an abundant number, since it is smaller than the sum of its proper divisors (114701965748).

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

101110112020 is a wasteful number, since it uses less digits than its factorization.

101110112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82877211 (or 82877209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110112020 its reverse (20211011101), we get a palindrome (121321123121).

The spelling of 101110112020 in words is "one hundred one billion, one hundred ten million, one hundred twelve thousand, twenty".