100130000031200 has 72 divisors (see below), whose sum is σ = 244556432261568. Its totient is φ = 40033309639680.

The previous prime is 100130000031091. The next prime is 100130000031203. The reversal of 100130000031200 is 2130000031001.

It is a super-2 number, since 2×100130000031200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130000031203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27488237 + ... + 30917036.

It is an arithmetic number, because the mean of its divisors is an integer number (3396617114744).

Almost surely, 2^{100130000031200} is an apocalyptic number.

100130000031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100130000031200 is an abundant number, since it is smaller than the sum of its proper divisors (144426432230368).

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

100130000031200 is a wasteful number, since it uses less digits than its factorization.

100130000031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58407436 (or 58407423 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100130000031200 its reverse (2130000031001), we get a palindrome (102260000062201).

The spelling of 100130000031200 in words is "one hundred trillion, one hundred thirty billion, thirty-one thousand, two hundred".