101111100020 has 48 divisors (see below), whose sum is σ = 243886137600. Its totient is φ = 34492449024.

The previous prime is 101111100019. The next prime is 101111100029. The reversal of 101111100020 is 20001111101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101111099980 and 101111100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111100029) 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 15 ways as a sum of consecutive naturals, for example, 1786769 + ... + 1842488.

It is an arithmetic number, because the mean of its divisors is an integer number (5080961200).

Almost surely, 2^101111100020 is an apocalyptic number.

101111100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111100020 is an abundant number, since it is smaller than the sum of its proper divisors (142775037580).

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

101111100020 is a wasteful number, since it uses less digits than its factorization.

101111100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629472 (or 3629470 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101111100020 its reverse (20001111101), we get a palindrome (121112211121).

The spelling of 101111100020 in words is "one hundred one billion, one hundred eleven million, one hundred thousand, twenty".