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2121121023100 = 2252411094746299
BaseRepresentation
bin11110110111011100101…
…010100100010001111100
321111202222120102100001121
4132313130222210101330
5234223023440214400
64302232440520324
7306150233133262
oct36673452442174
97452876370047
102121121023100
1174862057a182
122a31071800a4
13125036a80401
147493ca48432
153a2965bd21a
hex1eddcaa447c

2121121023100 has 72 divisors (see below), whose sum is σ = 4758355602000. Its totient is φ = 820160294400.

The previous prime is 2121121023097. The next prime is 2121121023101. The reversal of 2121121023100 is 13201211212.

It is a super-2 number, since 2×21211210231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121023101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926250 + ... + 2820049.

It is an arithmetic number, because the mean of its divisors is an integer number (66088272250).

Almost surely, 22121121023100 is an apocalyptic number.

2121121023100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121121023100 is an abundant number, since it is smaller than the sum of its proper divisors (2637234578900).

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

2121121023100 is a wasteful number, since it uses less digits than its factorization.

2121121023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746463 (or 4746456 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2121121023100 its reverse (13201211212), we get a palindrome (2134322234312).

The spelling of 2121121023100 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 109 164 205 218 410 436 545 820 1025 1090 2050 2180 2725 4100 4469 5450 8938 10900 17876 22345 44690 89380 111725 223450 446900 4746299 9492598 18985196 23731495 47462990 94925980 118657475 194598259 237314950 389196518 474629900 517346591 778393036 972991295 1034693182 1945982590 2069386364 2586732955 3891965180 4864956475 5173465910 9729912950 10346931820 12933664775 19459825900 21211210231 25867329550 42422420462 51734659100 84844840924 106056051155 212112102310 424224204620 530280255775 1060560511550 2121121023100