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100221121000 = 235372111314303
BaseRepresentation
bin101110101010110100…
…1001111000111101000
3100120200120201110020101
41131111221033013220
53120223101333000
6114012502235144
710145400321100
oct1352551170750
9316616643211
10100221121000
113955a234630
121750ba25ab4
1395b2580480
144bca580200
152918866e6a
hex1755a4f1e8

100221121000 has 384 divisors, whose sum is σ = 320521743360. Its totient is φ = 28832832000.

The previous prime is 100221120959. The next prime is 100221121057. The reversal of 100221121000 is 121122001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6999849 + ... + 7014151.

It is an arithmetic number, because the mean of its divisors is an integer number (834692040).

Almost surely, 2100221121000 is an apocalyptic number.

100221121000 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 100221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160260871680).

100221121000 is an abundant number, since it is smaller than the sum of its proper divisors (220300622360).

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

100221121000 is a wasteful number, since it uses less digits than its factorization.

100221121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221121000 its reverse (121122001), we get a palindrome (100342243001).

The spelling of 100221121000 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand".