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101012020110222 = 23132324889500729
BaseRepresentation
bin10110111101111010110001…
…100100111010001110001110
3111020122122200100200211011020
4112331322301210322032032
5101214440104122011342
6554500140441535010
730163610011143354
oct2675726144721616
9436578610624136
10101012020110222
112a204a58a79861
12b3b49811a4466
134449514797930
141ad30177cd7d4
15ba284b42a0ec
hex5bdeb193a38e

101012020110222 has 96 divisors (see below), whose sum is σ = 227481919408800. Its totient is φ = 29723149986816.

The previous prime is 101012020110203. The next prime is 101012020110241. The reversal of 101012020110222 is 222011020210101.

It is an interprime number because it is at equal distance from previous prime (101012020110203) and next prime (101012020110241).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201479554 + ... + 201980282.

It is an arithmetic number, because the mean of its divisors is an integer number (2369603327175).

Almost surely, 2101012020110222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012020110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113740959704400).

101012020110222 is an abundant number, since it is smaller than the sum of its proper divisors (126469899298578).

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

101012020110222 is a wasteful number, since it uses less digits than its factorization.

101012020110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505682 (or 505659 counting only the distinct ones).

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

Adding to 101012020110222 its reverse (222011020210101), we get a palindrome (323023040320323).

The spelling of 101012020110222 in words is "one hundred one trillion, twelve billion, twenty million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 529 598 897 1058 1587 1794 3174 4889 6877 9778 13754 14667 20631 29334 41262 63557 112447 127114 190671 224894 337341 381342 500729 674682 1001458 1461811 1502187 2586281 2923622 3004374 4385433 5172562 6509477 7758843 8770866 11516767 13018954 15517686 19528431 23033534 33621653 34550301 39056862 67243306 69100602 100864959 149717971 201729918 264885641 299435942 449153913 529771282 794656923 898307826 1589313846 2448064081 3443513333 4896128162 6887026666 7344192243 10330539999 14688384486 20661079998 31824833053 56305473863 63649666106 95474499159 112610947726 168916421589 190948998318 337832843178 731971160219 1295025898849 1463942320438 2195913480657 2590051797698 3885077696547 4391826961314 7770155393094 16835336685037 33670673370074 50506010055111 101012020110222