30201211112100 has 144 divisors (see below), whose sum is σ = 100033749180288. Its totient is φ = 6891492648960.

The previous prime is 30201211112063. The next prime is 30201211112101. The reversal of 30201211112100 is 121111210203.

It is a super-2 number, since 2×30201211112100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30201211112100.

It is not an unprimeable number, because it can be changed into a prime (30201211112101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10880779 + ... + 13371378.

It is an arithmetic number, because the mean of its divisors is an integer number (694678813752).

Almost surely, 2^{30201211112100} is an apocalyptic number.

30201211112100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30201211112100 is an abundant number, since it is smaller than the sum of its proper divisors (69832538068188).

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

30201211112100 is a wasteful number, since it uses less digits than its factorization.

30201211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24252774 (or 24252767 counting only the distinct ones).

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

Adding to 30201211112100 its reverse (121111210203), we get a palindrome (30322322322303).

The spelling of 30201211112100 in words is "thirty trillion, two hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred".