100021330200000 has 1344 divisors, whose sum is σ = 366581214300672. Its totient is φ = 23865600000000.

The previous prime is 100021330199981. The next prime is 100021330200031. The reversal of 100021330200000 is 2033120001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151318199670 + ... + 151318200330.

It is an arithmetic number, because the mean of its divisors is an integer number (272753879688).

Almost surely, 2^{100021330200000} is an apocalyptic number.

100021330200000 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 100021330200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183290607150336).

100021330200000 is an abundant number, since it is smaller than the sum of its proper divisors (266559884100672).

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

100021330200000 is a wasteful number, since it uses less digits than its factorization.

100021330200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100021330200000 its reverse (2033120001), we get a palindrome (100023363320001).

It can be divided in two parts, 1000213 and 30200000, that added together give a palindrome (31200213).

The spelling of 100021330200000 in words is "one hundred trillion, twenty-one billion, three hundred thirty million, two hundred thousand".