101110200001020 has 192 divisors, whose sum is σ = 364053604454400. Its totient is φ = 22818359715840.

The previous prime is 101110200000959. The next prime is 101110200001021. The reversal of 101110200001020 is 20100002011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110200000993 and 101110200001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110200001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168997141 + ... + 169594380.

It is an arithmetic number, because the mean of its divisors is an integer number (1896112523200).

Almost surely, 2^{101110200001020} is an apocalyptic number.

101110200001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110200001020 is an abundant number, since it is smaller than the sum of its proper divisors (262943404453380).

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

101110200001020 is a wasteful number, since it uses less digits than its factorization.

101110200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338591625 (or 338591617 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101110200001020 its reverse (20100002011101), we get a palindrome (121210202012121).

The spelling of 101110200001020 in words is "one hundred one trillion, one hundred ten billion, two hundred million, one thousand, twenty".