30201100112112 has 160 divisors (see below), whose sum is σ = 84410568211200. Its totient is φ = 9272259661824.

The previous prime is 30201100112107. The next prime is 30201100112119. The reversal of 30201100112112 is 21121100110203.

It is a super-2 number, since 2×30201100112112² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30201100112091 and 30201100112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30201100112119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43420939 + ... + 44110997.

It is an arithmetic number, because the mean of its divisors is an integer number (527566051320).

Almost surely, 2^{30201100112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42205284105600).

30201100112112 is an abundant number, since it is smaller than the sum of its proper divisors (54209468099088).

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

30201100112112 is a wasteful number, since it uses less digits than its factorization.

30201100112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691423 (or 691417 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 30201100112112 its reverse (21121100110203), we get a palindrome (51322200222315).

The spelling of 30201100112112 in words is "thirty trillion, two hundred one billion, one hundred million, one hundred twelve thousand, one hundred twelve".