101110200020200 has 144 divisors (see below), whose sum is σ = 273511038375180. Its totient is φ = 34660115159040.

The previous prime is 101110200020191. The next prime is 101110200020201. The reversal of 101110200020200 is 2020002011101.

It can be written as a sum of positive squares in 6 ways, for example, as 35595518575204 + 65514681444996 = 5966198^2 + 8094114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101110200020201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53689744 + ... + 55541056.

Almost surely, 2^{101110200020200} is an apocalyptic number.

101110200020200 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 101110200020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136755519187590).

101110200020200 is an abundant number, since it is smaller than the sum of its proper divisors (172400838354980).

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

101110200020200 is a wasteful number, since it uses less digits than its factorization.

101110200020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856916 (or 1856900 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101110200020200 its reverse (2020002011101), we get a palindrome (103130202031301).

The spelling of 101110200020200 in words is "one hundred one trillion, one hundred ten billion, two hundred million, twenty thousand, two hundred".