30220300100100 has 288 divisors, whose sum is σ = 97094319315840. Its totient is φ = 7195779072000.

The previous prime is 30220300100069. The next prime is 30220300100117. The reversal of 30220300100100 is 100100302203.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 57796636 + ... + 58317164.

It is an arithmetic number, because the mean of its divisors is an integer number (337133053180).

Almost surely, 2^{30220300100100} is an apocalyptic number.

30220300100100 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 30220300100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547159657920).

30220300100100 is an abundant number, since it is smaller than the sum of its proper divisors (66874019215740).

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

30220300100100 is a wasteful number, since it uses less digits than its factorization.

30220300100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520871 (or 520864 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30220300100100 its reverse (100100302203), we get a palindrome (30320400402303).

The spelling of 30220300100100 in words is "thirty trillion, two hundred twenty billion, three hundred million, one hundred thousand, one hundred".