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102201110101110 = 23513149952114973
BaseRepresentation
bin10111001111001110001100…
…110111001111110001110110
3111101212022221002022001012010
4113033032030313033301312
5101343430333141213420
61001210313011105050
730345533532250566
oct2717161467176166
9441768832261163
10102201110101110
112a62327a302599
12b567314ba2186
1345046a59a5a37
141b347bad90da6
15bc37434004e0
hex5cf38cdcfc76

102201110101110 has 64 divisors (see below), whose sum is σ = 247650356448000. Its totient is φ = 26991386298240.

The previous prime is 102201110101037. The next prime is 102201110101127. The reversal of 102201110101110 is 11101011102201.

102201110101110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24096417 + ... + 28018556.

It is an arithmetic number, because the mean of its divisors is an integer number (3869536819500).

Almost surely, 2102201110101110 is an apocalyptic number.

102201110101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201110101110 is an abundant number, since it is smaller than the sum of its proper divisors (145449246346890).

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

102201110101110 is a wasteful number, since it uses less digits than its factorization.

102201110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52115613.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102201110101110 its reverse (11101011102201), we get a palindrome (113302121203311).

The spelling of 102201110101110 in words is "one hundred two trillion, two hundred one billion, one hundred ten million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 262 393 499 655 786 998 1310 1497 1965 2495 2994 3930 4990 7485 14970 65369 130738 196107 326845 392214 653690 980535 1961070 52114973 104229946 156344919 260574865 312689838 521149730 781724595 1563449190 6827061463 13654122926 20481184389 26005371527 34135307315 40962368778 52010743054 68270614630 78016114581 102405921945 130026857635 156032229162 204811843890 260053715270 390080572905 780161145810 3406703670037 6813407340074 10220111010111 17033518350185 20440222020222 34067036700370 51100555050555 102201110101110