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10221201201120 = 2535721322571449
BaseRepresentation
bin1001010010111100111100…
…0100010001011111100000
31100012010201002022112201220
42110233033010101133200
52314431010001413440
633423315514255040
72103312615465300
oct224571704213740
940163632275656
1010221201201120
113290872680438
121190b2b727480
13591b16977400
142749ccc59600
1512ad248098d0
hex94bcf1117e0

10221201201120 has 432 divisors, whose sum is σ = 40556065964400. Its totient is φ = 2156560293888.

The previous prime is 10221201201119. The next prime is 10221201201121. The reversal of 10221201201120 is 2110210212201.

It is an interprime number because it is at equal distance from previous prime (10221201201119) and next prime (10221201201121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10221201201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221201201121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2689156 + ... + 5260604.

It is an arithmetic number, because the mean of its divisors is an integer number (93879782325).

Almost surely, 210221201201120 is an apocalyptic number.

10221201201120 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 10221201201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278032982200).

10221201201120 is an abundant number, since it is smaller than the sum of its proper divisors (30334864763280).

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

10221201201120 is a wasteful number, since it uses less digits than its factorization.

10221201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571507 (or 2571479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221201201120 its reverse (2110210212201), we get a palindrome (12331411413321).

The spelling of 10221201201120 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, two hundred one thousand, one hundred twenty".