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102010010102 = 271113127421953
BaseRepresentation
bin101111100000001000…
…1010011100111110110
3100202022020211102202022
41133000101103213312
53132404030310402
6114510204313142
710240621531160
oct1370021234766
9322266742668
10102010010102
113a297a9a480
121792ab427b2
139809080130
144d19da3930
1529c09282a2
hex17c04539f6

102010010102 has 128 divisors (see below), whose sum is σ = 207774056448. Its totient is φ = 36273484800.

The previous prime is 102010010099. The next prime is 102010010111. The reversal of 102010010102 is 201010010201.

It is a super-2 number, since 2×1020100101022 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102010010102.

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 63 ways as a sum of consecutive naturals, for example, 107040458 + ... + 107041410.

It is an arithmetic number, because the mean of its divisors is an integer number (1623234816).

Almost surely, 2102010010102 is an apocalyptic number.

102010010102 is an abundant number, since it is smaller than the sum of its proper divisors (105764046346).

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

102010010102 is a wasteful number, since it uses less digits than its factorization.

102010010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010010102 its reverse (201010010201), we get a palindrome (303020020303).

Subtracting 102010010102 from its reverse (201010010201), we obtain a palindrome (99000000099).

The spelling of 102010010102 in words is "one hundred two billion, ten million, ten thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 127 143 154 182 254 286 421 842 889 953 1001 1397 1651 1778 1906 2002 2794 2947 3302 4631 5473 5894 6671 9262 9779 10483 10946 11557 12389 13342 18161 19558 20966 23114 24778 32417 36322 38311 53467 60203 64834 73381 76622 86723 106934 120406 121031 127127 136279 146762 173446 242062 254254 272558 374269 401213 421421 588137 695071 748538 802426 842842 847217 953953 1176274 1331341 1390142 1573403 1694434 1907906 2662682 2808491 3146806 4116959 4413343 4865497 5215769 5616982 7645781 8233918 8826686 9319387 9730994 10431538 11013821 15291562 17307433 18638774 22027642 30893401 34614866 36510383 50954051 53520467 57373459 61786802 73020766 101908102 107040934 114746918 121152031 242304062 356678357 401614213 560494561 662402663 713356714 803228426 1120989122 1324805326 3923461927 4636818641 7286429293 7846923854 9273637282 14572858586 51005005051 102010010102