100021301121000 has 512 divisors, whose sum is σ = 362830790200320. Its totient is φ = 22466336256000.

The previous prime is 100021301120971. The next prime is 100021301121029. The reversal of 100021301121000 is 121103120001.

It is an interprime number because it is at equal distance from previous prime (100021301120971) and next prime (100021301121029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1400097282 + ... + 1400168718.

It is an arithmetic number, because the mean of its divisors is an integer number (708653887110).

Almost surely, 2^{100021301121000} is an apocalyptic number.

100021301121000 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 100021301121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181415395100160).

100021301121000 is an abundant number, since it is smaller than the sum of its proper divisors (262809489079320).

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

100021301121000 is a wasteful number, since it uses less digits than its factorization.

100021301121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72622 (or 72608 counting only the distinct ones).

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

Adding to 100021301121000 its reverse (121103120001), we get a palindrome (100142404241001).

The spelling of 100021301121000 in words is "one hundred trillion, twenty-one billion, three hundred one million, one hundred twenty-one thousand".