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1012022100102 = 2313192329690257
BaseRepresentation
bin11101011101000010011…
…01111100000010000110
310120202012120010101110210
432232201031330002012
5113040110124200402
62052525545500250
7133054564626366
oct16564115740206
93522176111423
101012022100102
11360218101712
121441781a1686
1374582b9a640
1436da6d789a6
151b4d1e0006c
hexeba137c086

1012022100102 has 64 divisors (see below), whose sum is σ = 2394222405120. Its totient is φ = 282176193024.

The previous prime is 1012022100077. The next prime is 1012022100127. The reversal of 1012022100102 is 2010012202101.

It is an interprime number because it is at equal distance from previous prime (1012022100077) and next prime (1012022100127).

It is a super-3 number, since 3×10120221001023 (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14811043 + ... + 14879214.

It is an arithmetic number, because the mean of its divisors is an integer number (37409725080).

Almost surely, 21012022100102 is an apocalyptic number.

1012022100102 is an abundant number, since it is smaller than the sum of its proper divisors (1382200305018).

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

1012022100102 is a wasteful number, since it uses less digits than its factorization.

1012022100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29690317.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012022100102 its reverse (2010012202101), we get a palindrome (3022034302203).

The spelling of 1012022100102 in words is "one trillion, twelve billion, twenty-two million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 247 299 437 494 598 741 874 897 1311 1482 1794 2622 5681 11362 17043 34086 29690257 59380514 89070771 178141542 385973341 564114883 682875911 771946682 1128229766 1157920023 1365751822 1692344649 2048627733 2315840046 3384689298 4097255466 7333493479 8877386843 12974642309 14666986958 17754773686 22000480437 25949284618 26632160529 38923926927 44000960874 53264321058 77847853854 168670350017 337340700034 506011050051 1012022100102