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101201121021220 = 225111792569860869
BaseRepresentation
bin10111000000101010111000…
…110111101000110100100100
3111021022201210010102102021121
4113000222320313220310210
5101231034343440134340
6555123053030423324
730213353056312603
oct2700527067506444
9437281703372247
10101201121021220
112a278177566090
12b425556801b44
1344612bca617cc
141adc23618ba3a
15ba7717ae494a
hex5c0ab8de8d24

101201121021220 has 48 divisors (see below), whose sum is σ = 233137778126400. Its totient is φ = 36594818760320.

The previous prime is 101201121021097. The next prime is 101201121021227. The reversal of 101201121021220 is 22120121102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201121021194 and 101201121021203.

It is not an unprimeable number, because it can be changed into a prime (101201121021227) 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, 1284891055 + ... + 1284969814.

It is an arithmetic number, because the mean of its divisors is an integer number (4857037044300).

Almost surely, 2101201121021220 is an apocalyptic number.

101201121021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201121021220 is an abundant number, since it is smaller than the sum of its proper divisors (131936657105180).

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

101201121021220 is a wasteful number, since it uses less digits than its factorization.

101201121021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569861068 (or 2569861066 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101201121021220 its reverse (22120121102101), we get a palindrome (123321242123321).

The spelling of 101201121021220 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3580 3938 7876 9845 19690 39380 2569860869 5139721738 10279443476 12849304345 25698608690 28268469559 51397217380 56536939118 113073878236 141342347795 282684695590 460005095551 565369391180 920010191102 1840020382204 2300025477755 4600050955510 5060056051061 9200101911020 10120112102122 20240224204244 25300280255305 50600560510610 101201121021220