100120102302000 has 480 divisors, whose sum is σ = 361493627302080. Its totient is φ = 23813577216000.

The previous prime is 100120102301981. The next prime is 100120102302001. The reversal of 100120102302000 is 203201021001.

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 (100120102302001) 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, 37176996 + ... + 39779004.

It is an arithmetic number, because the mean of its divisors is an integer number (753111723546).

Almost surely, 2^{100120102302000} is an apocalyptic number.

100120102302000 is a gapful number since it is divisible by the number (10) 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 100120102302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180746813651040).

100120102302000 is an abundant number, since it is smaller than the sum of its proper divisors (261373525000080).

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

100120102302000 is a wasteful number, since it uses less digits than its factorization.

100120102302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602110 (or 2602083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100120102302000 its reverse (203201021001), we get a palindrome (100323303323001).

The spelling of 100120102302000 in words is "one hundred trillion, one hundred twenty billion, one hundred two million, three hundred two thousand".