30200202011100 has 288 divisors, whose sum is σ = 96300068901120. Its totient is φ = 7246254080000.

The previous prime is 30200202011093. The next prime is 30200202011143. The reversal of 30200202011100 is 111020200203.

It is a super-2 number, since 2×30200202011100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067545756 + ... + 1067574044.

It is an arithmetic number, because the mean of its divisors is an integer number (334375239240).

Almost surely, 2^{30200202011100} is an apocalyptic number.

30200202011100 is a gapful number since it is divisible by the number (30) 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 30200202011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48150034450560).

30200202011100 is an abundant number, since it is smaller than the sum of its proper divisors (66099866890020).

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

30200202011100 is a wasteful number, since it uses less digits than its factorization.

30200202011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31621 (or 31614 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30200202011100 its reverse (111020200203), we get a palindrome (30311222211303).

The spelling of 30200202011100 in words is "thirty trillion, two hundred billion, two hundred two million, eleven thousand, one hundred".