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121021021002021 = 371923312069205607
BaseRepresentation
bin11011100001000101100110…
…111101111001100100100101
3120212111111102000221000010220
4123201011212331321210211
5111330302022334031041
61105220142312234553
734330323501412320
oct3341054675714445
9525444360830126
10121021021002021
11356197aa387048
12116a682709ba59
13526b30578183a
1421c563d2157b7
15ded07b5b6d66
hex6e1166f79925

121021021002021 has 128 divisors (see below), whose sum is σ = 209195119411200. Its totient is φ = 60615543732480.

The previous prime is 121021021001963. The next prime is 121021021002031. The reversal of 121021021002021 is 120200120120121.

It is not a de Polignac number, because 121021021002021 - 27 = 121021021001893 is a prime.

It is a super-3 number, since 3×1210210210020213 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021021002031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 588500800 + ... + 588706406.

It is an arithmetic number, because the mean of its divisors is an integer number (1634336870400).

Almost surely, 2121021021002021 is an apocalyptic number.

It is an amenable number.

121021021002021 is a deficient number, since it is larger than the sum of its proper divisors (88174098409179).

121021021002021 is a wasteful number, since it uses less digits than its factorization.

121021021002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207759.

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

Adding to 121021021002021 its reverse (120200120120121), we get a palindrome (241221141122142).

The spelling of 121021021002021 in words is "one hundred twenty-one trillion, twenty-one billion, twenty-one million, two thousand, twenty-one".

Divisors: 1 3 7 19 21 23 31 57 69 93 133 161 217 399 437 483 589 651 713 1311 1767 2069 2139 3059 4123 4991 6207 9177 12369 13547 14483 14973 39311 40641 43449 47587 64139 94829 117933 142761 192417 205607 275177 284487 333109 448973 616821 825531 904153 999327 1218641 1346919 1439249 1475197 2712459 3655923 3906533 4317747 4425591 4728961 6329071 6373817 8530487 10326379 11719599 14186883 18987213 19121451 25591461 27345731 28028743 30979137 33102727 44616719 82037193 84086229 89850259 99308181 121102523 133850157 146597791 196201201 269550777 363307569 425400883 439793373 588603603 628951813 847717661 1026184537 1276202649 1886855439 2543152983 2785358029 2977806181 3078553611 8082616777 8356074087 8933418543 9784220309 13187427373 19497506203 24247850331 29352660927 39562282119 56578317439 58492518609 68489542163 92311991611 169734952317 185900185871 205468626489 250561120087 276935974833 303310829579 557700557613 751683360261 909932488737 1301301301097 1753927840609 2123175807053 3903903903291 5261783521827 5762905762001 6369527421159 17288717286003 40340340334007 121021021002021