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2101221020020 = 225601829210869
BaseRepresentation
bin11110100100111010100…
…010000101000101110100
321102212121201001102210111
4132210322202011011310
5233411300040120040
64245142042432404
7304544133656503
oct36447242050564
97385551042714
102101221020020
1174013953a341
1229b292802704
131231b5017a65
14739b1b5283a
15399ce505dea
hex1e93a885174

2101221020020 has 48 divisors (see below), whose sum is σ = 4425258776400. Its totient is φ = 838073779200.

The previous prime is 2101221020009. The next prime is 2101221020033. The reversal of 2101221020020 is 200201221012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 336351281764 + 1764869738256 = 579958^2 + 1328484^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9859146 + ... + 10070014.

It is an arithmetic number, because the mean of its divisors is an integer number (92192891175).

Almost surely, 22101221020020 is an apocalyptic number.

2101221020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101221020020 is an abundant number, since it is smaller than the sum of its proper divisors (2324037756380).

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

2101221020020 is a wasteful number, since it uses less digits than its factorization.

2101221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212308 (or 212306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2101221020020 its reverse (200201221012), we get a palindrome (2301422241032).

The spelling of 2101221020020 in words is "two trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 601 829 1202 1658 2404 3005 3316 4145 6010 8290 12020 16580 210869 421738 498229 843476 996458 1054345 1992916 2108690 2491145 4217380 4982290 9964580 126732269 174810401 253464538 349620802 506929076 633661345 699241604 874052005 1267322690 1748104010 2534645380 3496208020 105061051001 210122102002 420244204004 525305255005 1050610510010 2101221020020