30101101332000 has 192 divisors, whose sum is σ = 98634012107904. Its totient is φ = 8025104102400.

The previous prime is 30101101331947. The next prime is 30101101332007. The reversal of 30101101332000 is 23310110103.

It is a super-3 number, since 3×30101101332000³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30101101332007) 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, 51996139 + ... + 52571861.

It is an arithmetic number, because the mean of its divisors is an integer number (513718813062).

Almost surely, 2^{30101101332000} is an apocalyptic number.

30101101332000 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 30101101332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49317006053952).

30101101332000 is an abundant number, since it is smaller than the sum of its proper divisors (68532910775904).

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

30101101332000 is a wasteful number, since it uses less digits than its factorization.

30101101332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580108 (or 580090 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30101101332000 its reverse (23310110103), we get a palindrome (30124411442103).

The spelling of 30101101332000 in words is "thirty trillion, one hundred one billion, one hundred one million, three hundred thirty-two thousand".