30101132100 has 288 divisors, whose sum is σ = 95421392640. Its totient is φ = 7282114560.

The previous prime is 30101132077. The next prime is 30101132101. The reversal of 30101132100 is 123110103.

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

It is not an unprimeable number, because it can be changed into a prime (30101132101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73596696 + ... + 73597104.

It is an arithmetic number, because the mean of its divisors is an integer number (331324280).

Almost surely, 2^30101132100 is an apocalyptic number.

30101132100 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 30101132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47710696320).

30101132100 is an abundant number, since it is smaller than the sum of its proper divisors (65320260540).

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

30101132100 is a wasteful number, since it uses less digits than its factorization.

30101132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30101132100 its reverse (123110103), we get a palindrome (30224242203).

The spelling of 30101132100 in words is "thirty billion, one hundred one million, one hundred thirty-two thousand, one hundred".