100300001202000 has 480 divisors, whose sum is σ = 352581085509120. Its totient is φ = 26574157900800.

The previous prime is 100300001201993. The next prime is 100300001202001. The reversal of 100300001202000 is 202100003001.

It is a happy number.

It is a super-2 number, since 2×100300001202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100300001202001) 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, 1776985779 + ... + 1777042221.

It is an arithmetic number, because the mean of its divisors is an integer number (734543928144).

Almost surely, 2^{100300001202000} is an apocalyptic number.

100300001202000 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 100300001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176290542754560).

100300001202000 is an abundant number, since it is smaller than the sum of its proper divisors (252281084307120).

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

100300001202000 is a wasteful number, since it uses less digits than its factorization.

100300001202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57108 (or 57089 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100300001202000 its reverse (202100003001), we get a palindrome (100502101205001).

The spelling of 100300001202000 in words is "one hundred trillion, three hundred billion, one million, two hundred two thousand".