100202214341020 has 96 divisors (see below), whose sum is σ = 237546253022400. Its totient is φ = 35169392025600.

The previous prime is 100202214340999. The next prime is 100202214341039. The reversal of 100202214341020 is 20143412202001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100202214340982 and 100202214341000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17309580 + ... + 22361260.

It is an arithmetic number, because the mean of its divisors is an integer number (2474440135650).

Almost surely, 2^{100202214341020} is an apocalyptic number.

100202214341020 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 100202214341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118773126511200).

100202214341020 is an abundant number, since it is smaller than the sum of its proper divisors (137344038681380).

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

100202214341020 is a wasteful number, since it uses less digits than its factorization.

100202214341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054839 (or 5054837 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100202214341020 its reverse (20143412202001), we get a palindrome (120345626543021).

The spelling of 100202214341020 in words is "one hundred trillion, two hundred two billion, two hundred fourteen million, three hundred forty-one thousand, twenty".