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102101210110012 = 225310719922618207
BaseRepresentation
bin10111001101110001001010…
…010111000001100000111100
3111101111210001212211200100211
4113031301022113001200330
5101340311234242010022
61001052352015402204
730335366111322331
oct2715611227014074
9441453055750324
10102101210110012
112a594975374683
12b54ba94823364
1344c8144b10b79
141b2da21324988
15bc0d47d6ce77
hex5cdc4a5c183c

102101210110012 has 48 divisors (see below), whose sum is σ = 184673144678400. Its totient is φ = 49369934382912.

The previous prime is 102101210109967. The next prime is 102101210110019. The reversal of 102101210110012 is 210011012101201.

It is a happy number.

It is a super-2 number, since 2×1021012101100122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101210109974 and 102101210110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101210110019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6794988 + ... + 15823219.

It is an arithmetic number, because the mean of its divisors is an integer number (3847357180800).

Almost surely, 2102101210110012 is an apocalyptic number.

It is an amenable number.

102101210110012 is a deficient number, since it is larger than the sum of its proper divisors (82571934568388).

102101210110012 is a wasteful number, since it uses less digits than its factorization.

102101210110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22618570 (or 22618568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101210110012 its reverse (210011012101201), we get a palindrome (312112222211213).

The spelling of 102101210110012 in words is "one hundred two trillion, one hundred one billion, two hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 4 53 106 107 199 212 214 398 428 796 5671 10547 11342 21094 21293 22684 42188 42586 85172 1128529 2257058 4514116 22618207 45236414 90472828 1198764971 2397529942 2420148149 4501023193 4795059884 4840296298 9002046386 9680592596 18004092772 128267851897 238554229229 256535703794 477108458458 481609481651 513071407588 954216916916 963218963302 1926437926604 25525302527503 51050605055006 102101210110012