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BaseRepresentation
bin10111000000110011010111…
…010001110000111001100000
3111021100121021022212101112122
4113000303113101300321200
5101231212013101333440
6555131200025243412
730214124426013236
oct2700632721607140
9437317238771478
10101210221121120
112a281017306901
12b427276333568
13446211018bbc7
15ba7a9b9957b5
hex5c0cd7470e60

101210221121120 has 96 divisors (see below), whose sum is σ = 240052441376160. Its totient is φ = 40324523868160.

The previous prime is 101210221121039. The next prime is 101210221121129. The reversal of 101210221121120 is 21121122012101.

Adding to 101210221121120 its reverse (21121122012101), we get a palindrome (122331343133221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210221121129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87984875 + ... + 89127765.

It is an arithmetic number, because the mean of its divisors is an integer number (2500546264335).

Almost surely, 2101210221121120 is an apocalyptic number.

101210221121120 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 101210221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120026220688080).

101210221121120 is an abundant number, since it is smaller than the sum of its proper divisors (138842220255040).

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

101210221121120 is a wasteful number, since it uses less digits than its factorization.

101210221121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145088 (or 1145080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

The spelling of 101210221121120 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".