30101221332100 has 72 divisors (see below), whose sum is σ = 66450083125608. Its totient is φ = 11833287782400.

The previous prime is 30101221332067. The next prime is 30101221332109. The reversal of 30101221332100 is 123312210103.

It can be written as a sum of positive squares in 12 ways, for example, as 13403667854404 + 16697553477696 = 3661102^2 + 4086264^2 .

It is not an unprimeable number, because it can be changed into a prime (30101221332109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5285809 + ... + 9388408.

It is an arithmetic number, because the mean of its divisors is an integer number (922917821189).

Almost surely, 2^{30101221332100} is an apocalyptic number.

It is an amenable number.

30101221332100 is an abundant number, since it is smaller than the sum of its proper divisors (36348861793508).

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

30101221332100 is a wasteful number, since it uses less digits than its factorization.

30101221332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674585 (or 14674578 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30101221332100 its reverse (123312210103), we get a palindrome (30224533542203).

The spelling of 30101221332100 in words is "thirty trillion, one hundred one billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred".