30201010121100 has 864 divisors, whose sum is σ = 109359656534016. Its totient is φ = 6300424166400.

The previous prime is 30201010121081. The next prime is 30201010121111. The reversal of 30201010121100 is 112101010203.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15640087135 + ... + 15640089065.

It is an arithmetic number, because the mean of its divisors is an integer number (126573676544).

Almost surely, 2^{30201010121100} is an apocalyptic number.

30201010121100 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 30201010121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54679828267008).

30201010121100 is an abundant number, since it is smaller than the sum of its proper divisors (79158646412916).

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

30201010121100 is a wasteful number, since it uses less digits than its factorization.

30201010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2435 counting only the distinct ones).

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

Adding to 30201010121100 its reverse (112101010203), we get a palindrome (30313111131303).

The spelling of 30201010121100 in words is "thirty trillion, two hundred one billion, ten million, one hundred twenty-one thousand, one hundred".