101110000020 has 96 divisors (see below), whose sum is σ = 299927287296. Its totient is φ = 25362585600.

The previous prime is 101109999979. The next prime is 101110000021. The reversal of 101110000020 is 20000011101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101109999963 and 101110000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881930 + ... + 1934910.

It is an arithmetic number, because the mean of its divisors is an integer number (3124242576).

Almost surely, 2^101110000020 is an apocalyptic number.

101110000020 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 101110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149963643648).

101110000020 is an abundant number, since it is smaller than the sum of its proper divisors (198817287276).

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

101110000020 is a wasteful number, since it uses less digits than its factorization.

101110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54881 (or 54879 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101110000020 its reverse (20000011101), we get a palindrome (121110011121).

The spelling of 101110000020 in words is "one hundred one billion, one hundred ten million, twenty", and thus it is an aban number.